152931840 has 80 divisors (see below), whose sum is σ = 488928528. Its totient is φ = 40779776.

The previous prime is 152931803. The next prime is 152931859. The reversal of 152931840 is 48139251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2277 + ... + 17636.

Almost surely, 2^152931840 is an apocalyptic number.

152931840 is a gapful number since it is divisible by the number (10) 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 152931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244464264).

152931840 is an abundant number, since it is smaller than the sum of its proper divisors (335996688).

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

152931840 is an equidigital number, since it uses as much as digits as its factorization.

152931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19939 (or 19923 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 152931840 is about 12366.5613652300. The cubic root of 152931840 is about 534.7686891284.

The spelling of 152931840 in words is "one hundred fifty-two million, nine hundred thirty-one thousand, eight hundred forty".