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151134672 = 24313231601
BaseRepresentation
bin10010000001000…
…10000111010000
3101112101102210110
421000202013100
5302142302142
622555201320
73513423603
oct1100420720
9345342713
10151134672
1178347797
1242746240
1325408500
141610233a
15d40599c
hex90221d0

151134672 has 120 divisors (see below), whose sum is σ = 437138688. Its totient is φ = 44928000.

The previous prime is 151134667. The next prime is 151134673. The reversal of 151134672 is 276431151.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151134673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251172 + ... + 251772.

Almost surely, 2151134672 is an apocalyptic number.

151134672 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 151134672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218569344).

151134672 is an abundant number, since it is smaller than the sum of its proper divisors (286004016).

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

151134672 is a wasteful number, since it uses less digits than its factorization.

151134672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 650 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 151134672 is about 12293.6842321576. The cubic root of 151134672 is about 532.6656638120.

The spelling of 151134672 in words is "one hundred fifty-one million, one hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 169 186 208 248 312 338 372 403 496 507 601 624 676 744 806 1014 1202 1209 1352 1488 1612 1803 2028 2404 2418 2704 3224 3606 4056 4808 4836 5239 6448 7212 7813 8112 9616 9672 10478 14424 15626 15717 18631 19344 20956 23439 28848 31252 31434 37262 41912 46878 55893 62504 62868 74524 83824 93756 101569 111786 125008 125736 149048 187512 203138 223572 242203 251472 298096 304707 375024 406276 447144 484406 609414 726609 812552 894288 968812 1218828 1453218 1625104 1937624 2437656 2906436 3148639 3875248 4875312 5812872 6297278 9445917 11625744 12594556 18891834 25189112 37783668 50378224 75567336 151134672