152031264 has 192 divisors, whose sum is σ = 504548352. Its totient is φ = 38937600.

The previous prime is 152031263. The next prime is 152031277. The reversal of 152031264 is 462130251.

152031264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152031264² = 46227010466875392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152031263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968274 + ... + 968430.

It is an arithmetic number, because the mean of its divisors is an integer number (2627856).

Almost surely, 2^152031264 is an apocalyptic number.

152031264 is a gapful number since it is divisible by the number (14) 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 152031264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252274176).

152031264 is an abundant number, since it is smaller than the sum of its proper divisors (352517088).

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

152031264 is a wasteful number, since it uses less digits than its factorization.

152031264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 152031264 is about 12330.0958633743. The cubic root of 152031264 is about 533.7169171085.

The spelling of 152031264 in words is "one hundred fifty-two million, thirty-one thousand, two hundred sixty-four".