152083638 has 48 divisors (see below), whose sum is σ = 396414720. Its totient is φ = 41164848.

The previous prime is 152083609. The next prime is 152083669. The reversal of 152083638 is 836380251.

152083638 is a `hidden beast` number, since 15 + 2 + 0 + 8 + 3 + 638 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29370 + ... + 34157.

It is an arithmetic number, because the mean of its divisors is an integer number (8258640).

Almost surely, 2^152083638 is an apocalyptic number.

152083638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

152083638 is an abundant number, since it is smaller than the sum of its proper divisors (244331082).

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

152083638 is a wasteful number, since it uses less digits than its factorization.

152083638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63561 (or 63558 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 152083638 is about 12332.2195082637. The cubic root of 152083638 is about 533.7781976631.

It can be divided in two parts, 1520 and 83638, that added together give a palindrome (85158).

The spelling of 152083638 in words is "one hundred fifty-two million, eighty-three thousand, six hundred thirty-eight".