151632792 has 144 divisors (see below), whose sum is σ = 451821240. Its totient is φ = 45771264.

The previous prime is 151632781. The next prime is 151632797. The reversal of 151632792 is 297236151.

151632792 is a `hidden beast` number, since 15 + 1 + 632 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151632797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2263143 + ... + 2263209.

Almost surely, 2^151632792 is an apocalyptic number.

151632792 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 151632792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225910620).

151632792 is an abundant number, since it is smaller than the sum of its proper divisors (300188448).

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

151632792 is a wasteful number, since it uses less digits than its factorization.

151632792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 132 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 151632792 is about 12313.9267498227. The cubic root of 151632792 is about 533.2502207293.

It can be divided in two parts, 15163 and 2792, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 151632792 in words is "one hundred fifty-one million, six hundred thirty-two thousand, seven hundred ninety-two".