151624332 has 72 divisors (see below), whose sum is σ = 414985200. Its totient is φ = 47869056.

The previous prime is 151624307. The next prime is 151624381. The reversal of 151624332 is 233426151.

151624332 is a `hidden beast` number, since 1 + 5 + 1 + 624 + 3 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 151624296 and 151624305.

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 23 ways as a sum of consecutive naturals, for example, 37044 + ... + 40932.

Almost surely, 2^151624332 is an apocalyptic number.

151624332 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 151624332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207492600).

151624332 is an abundant number, since it is smaller than the sum of its proper divisors (263360868).

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

151624332 is a wasteful number, since it uses less digits than its factorization.

151624332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3913 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 151624332 is about 12313.5832315374. The cubic root of 151624332 is about 533.2403033917.

The spelling of 151624332 in words is "one hundred fifty-one million, six hundred twenty-four thousand, three hundred thirty-two".