152638704 has 120 divisors (see below), whose sum is σ = 459613440. Its totient is φ = 47136384.

The previous prime is 152638639. The next prime is 152638721. The reversal of 152638704 is 407836251.

152638704 is a `hidden beast` number, since 15 + 2 + 638 + 7 + 0 + 4 = 666.

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

It is a congruent number.

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, 127999 + ... + 129185.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2^152638704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152638704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

152638704 is an abundant number, since it is smaller than the sum of its proper divisors (306974736).

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

152638704 is a wasteful number, since it uses less digits than its factorization.

152638704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 152638704 is about 12354.7037196365. The cubic root of 152638704 is about 534.4267934204.

The spelling of 152638704 in words is "one hundred fifty-two million, six hundred thirty-eight thousand, seven hundred four".