151538688 has 308 divisors, whose sum is σ = 536969040. Its totient is φ = 41803776.

The previous prime is 151538687. The next prime is 151538693. The reversal of 151538688 is 886835151.

151538688 is a `hidden beast` number, since 1 + 51 + 538 + 68 + 8 = 666.

It is a super-2 number, since 2×151538688² = 45927947921522688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151538687) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5225458 + ... + 5225486.

Almost surely, 2^151538688 is an apocalyptic number.

151538688 is a gapful number since it is divisible by the number (18) 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 151538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268484520).

151538688 is an abundant number, since it is smaller than the sum of its proper divisors (385430352).

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

151538688 is an frugal number, since it uses more digits than its factorization.

151538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 151538688 is about 12310.1051173416. The cubic root of 151538688 is about 533.1398853976.

The spelling of 151538688 in words is "one hundred fifty-one million, five hundred thirty-eight thousand, six hundred eighty-eight".