152944064 has 56 divisors (see below), whose sum is σ = 373550688. Its totient is φ = 60503040.

The previous prime is 152944039. The next prime is 152944081. The reversal of 152944064 is 460449251.

152944064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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, 7307 + ... + 18954.

It is an arithmetic number, because the mean of its divisors is an integer number (6670548).

Almost surely, 2^152944064 is an apocalyptic number.

152944064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152944064 is an abundant number, since it is smaller than the sum of its proper divisors (220606624).

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

152944064 is a wasteful number, since it uses less digits than its factorization.

152944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26293 (or 26283 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 152944064 is about 12367.0555913685. The cubic root of 152944064 is about 534.7829369534.

The spelling of 152944064 in words is "one hundred fifty-two million, nine hundred forty-four thousand, sixty-four".