152973936 has 60 divisors (see below), whose sum is σ = 429146640. Its totient is φ = 50868480.

The previous prime is 152973901. The next prime is 152973991. The reversal of 152973936 is 639379251.

It is a junction number, because it is equal to n+sod(n) for n = 152973891 and 152973900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74005 + ... + 76043.

It is an arithmetic number, because the mean of its divisors is an integer number (7152444).

Almost surely, 2^152973936 is an apocalyptic number.

152973936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152973936 is an abundant number, since it is smaller than the sum of its proper divisors (276172704).

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

152973936 is a wasteful number, since it uses less digits than its factorization.

152973936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2565 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 152973936 is about 12368.2632572241. The cubic root of 152973936 is about 534.8177514155.

The spelling of 152973936 in words is "one hundred fifty-two million, nine hundred seventy-three thousand, nine hundred thirty-six".