152337984 has 56 divisors (see below), whose sum is σ = 409699968. Its totient is φ = 49943040.

The previous prime is 152337973. The next prime is 152338009. The reversal of 152337984 is 489733251.

It is a super-2 number, since 2×152337984² = 46413722738368512, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5209 + ... + 18215.

Almost surely, 2^152337984 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 152337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204849984).

152337984 is an abundant number, since it is smaller than the sum of its proper divisors (257361984).

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

152337984 is a wasteful number, since it uses less digits than its factorization.

152337984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13083 (or 13073 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 152337984 is about 12342.5274559144. The cubic root of 152337984 is about 534.0755970349.

The spelling of 152337984 in words is "one hundred fifty-two million, three hundred thirty-seven thousand, nine hundred eighty-four".