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151133094 = 23371729811
BaseRepresentation
bin10010000001000…
…01101110100110
3101112101100122000
421000201232212
5302142224334
622555150130
73513416160
oct1100415646
9345340560
10151133094
1178346592
1242745346
1325407888
1416101930
15d405299
hex9021ba6

151133094 has 128 divisors (see below), whose sum is σ = 420940800. Its totient is φ = 39191040.

The previous prime is 151133071. The next prime is 151133149. The reversal of 151133094 is 490331151.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185949 + ... + 186759.

It is an arithmetic number, because the mean of its divisors is an integer number (3288600).

Almost surely, 2151133094 is an apocalyptic number.

151133094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151133094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210470400).

151133094 is an abundant number, since it is smaller than the sum of its proper divisors (269807706).

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

151133094 is a wasteful number, since it uses less digits than its factorization.

151133094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 151133094 is about 12293.6200526940. The cubic root of 151133094 is about 532.6638099481.

The spelling of 151133094 in words is "one hundred fifty-one million, one hundred thirty-three thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 29 34 42 51 54 58 63 87 102 119 126 153 174 189 203 238 261 306 357 378 406 459 493 522 609 714 783 811 918 986 1071 1218 1479 1566 1622 1827 2142 2433 2958 3213 3451 3654 4437 4866 5481 5677 6426 6902 7299 8874 10353 10962 11354 13311 13787 14598 17031 20706 21897 23519 26622 27574 31059 34062 41361 43794 47038 51093 62118 70557 82722 93177 96509 102186 124083 141114 153279 164633 186354 193018 211671 248166 289527 306558 329266 372249 399823 423342 493899 579054 635013 744498 799646 868581 987798 1199469 1270026 1481697 1737162 2398938 2605743 2798761 2963394 3598407 4445091 5211486 5597522 7196814 8396283 8890182 10795221 16792566 21590442 25188849 50377698 75566547 151133094