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151243152 = 24317732539
BaseRepresentation
bin10010000001111…
…00100110010000
3101112120221121020
421000330212100
5302204240102
623001355440
73514355064
oct1100744620
9345527536
10151243152
1178411245
1242798b80
13254459b8
141612daa4
15d427bbc
hex903c990

151243152 has 80 divisors (see below), whose sum is σ = 419526720. Its totient is φ = 46780416.

The previous prime is 151243151. The next prime is 151243153. The reversal of 151243152 is 251342151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151243151) and next prime (151243153).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (151243151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58299 + ... + 60837.

It is an arithmetic number, because the mean of its divisors is an integer number (5244084).

Almost surely, 2151243152 is an apocalyptic number.

151243152 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 151243152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209763360).

151243152 is an abundant number, since it is smaller than the sum of its proper divisors (268283568).

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

151243152 is a wasteful number, since it uses less digits than its factorization.

151243152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2634 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 151243152 is about 12298.0954623063. The cubic root of 151243152 is about 532.7930772216.

The spelling of 151243152 in words is "one hundred fifty-one million, two hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 73 102 136 146 204 219 272 292 408 438 584 816 876 1168 1241 1752 2482 2539 3504 3723 4964 5078 7446 7617 9928 10156 14892 15234 19856 20312 29784 30468 40624 43163 59568 60936 86326 121872 129489 172652 185347 258978 345304 370694 517956 556041 690608 741388 1035912 1112082 1482776 2071824 2224164 2965552 3150899 4448328 6301798 8896656 9452697 12603596 18905394 25207192 37810788 50414384 75621576 151243152