151815312 has 90 divisors (see below), whose sum is σ = 467061686. Its totient is φ = 45999360.

The previous prime is 151815281. The next prime is 151815331. The reversal of 151815312 is 213518151.

151815312 is a `hidden beast` number, since 1 + 51 + 81 + 531 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150700176 + 1115136 = 12276^2 + 1056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13068 + ... + 21780.

Almost surely, 2^151815312 is an apocalyptic number.

151815312 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 151815312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233530843).

151815312 is an abundant number, since it is smaller than the sum of its proper divisors (315246374).

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

151815312 is a wasteful number, since it uses less digits than its factorization.

151815312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8749 (or 8729 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

The square root of 151815312 is about 12321.3356418856. The cubic root of 151815312 is about 533.4640922444.

The spelling of 151815312 in words is "one hundred fifty-one million, eight hundred fifteen thousand, three hundred twelve".