152037984 has 72 divisors (see below), whose sum is σ = 464273208. Its totient is φ = 43438080.

The previous prime is 152037971. The next prime is 152038001. The reversal of 152037984 is 489730251.

152037984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11457 + ... + 20864.

It is an arithmetic number, because the mean of its divisors is an integer number (6448239).

Almost surely, 2^152037984 is an apocalyptic number.

152037984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152037984 is an abundant number, since it is smaller than the sum of its proper divisors (312235224).

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

152037984 is a wasteful number, since it uses less digits than its factorization.

152037984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32348 (or 32333 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 152037984 is about 12330.3683643272. The cubic root of 152037984 is about 533.7247806771.

The spelling of 152037984 in words is "one hundred fifty-two million, thirty-seven thousand, nine hundred eighty-four".