152933440 has 112 divisors (see below), whose sum is σ = 414771840. Its totient is φ = 53166080.

The previous prime is 152933419. The next prime is 152933497. The reversal of 152933440 is 44339251.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80016 + ... + 81904.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320).

Almost surely, 2^152933440 is an apocalyptic number.

152933440 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 152933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

152933440 is an abundant number, since it is smaller than the sum of its proper divisors (261838400).

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

152933440 is a wasteful number, since it uses less digits than its factorization.

152933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 152933440 is about 12366.6260556386. The cubic root of 152933440 is about 534.7705540701.

It can be divided in two parts, 1529 and 33440, that added together give a square (34969 = 187²).

The spelling of 152933440 in words is "one hundred fifty-two million, nine hundred thirty-three thousand, four hundred forty".