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151534152 = 23347113037
BaseRepresentation
bin10010000100000…
…11101001001000
3101120010201210000
421002003221020
5302243043102
623011523000
73520006350
oct1102035110
9346121700
10151534152
117859a940
12428b9460
13255182a3
14161a7b60
15d48401c
hex9083a48

151534152 has 160 divisors (see below), whose sum is σ = 529341120. Its totient is φ = 39346560.

The previous prime is 151534151. The next prime is 151534153. The reversal of 151534152 is 251435151.

It is an interprime number because it is at equal distance from previous prime (151534151) and next prime (151534153).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151534151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48378 + ... + 51414.

It is an arithmetic number, because the mean of its divisors is an integer number (3308382).

Almost surely, 2151534152 is an apocalyptic number.

151534152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151534152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264670560).

151534152 is an abundant number, since it is smaller than the sum of its proper divisors (377806968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151534152 is a wasteful number, since it uses less digits than its factorization.

151534152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3060 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 151534152 is about 12309.9208770812. The cubic root of 151534152 is about 533.1345658613.

Subtracting 151534152 from its reverse (251435151), we obtain a palindrome (99900999).

The spelling of 151534152 in words is "one hundred fifty-one million, five hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3037 3564 4158 4536 5544 6074 6237 7128 8316 9111 12148 12474 16632 18222 21259 24296 24948 27333 33407 36444 42518 49896 54666 63777 66814 72888 81999 85036 100221 109332 127554 133628 163998 170072 191331 200442 218664 233849 245997 255108 267256 300663 327996 382662 400884 467698 491994 510216 573993 601326 655992 701547 765324 801768 901989 935396 983988 1147986 1202652 1403094 1530648 1721979 1803978 1870792 1967976 2104641 2295972 2405304 2705967 2806188 3443958 3607956 4209282 4591944 5411934 5612376 6313923 6887916 7215912 8418564 10823868 12627846 13775832 16837128 18941769 21647736 25255692 37883538 50511384 75767076 151534152