152914320 has 360 divisors, whose sum is σ = 605070648. Its totient is φ = 34283520.

The previous prime is 152914313. The next prime is 152914339. The reversal of 152914320 is 23419251.

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 141705216 = 3348^2 + 11904^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×152914320² = 46765578522124800, which contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4932705 + ... + 4932735.

Almost surely, 2^152914320 is an apocalyptic number.

152914320 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 152914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302535324).

152914320 is an abundant number, since it is smaller than the sum of its proper divisors (452156328).

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

152914320 is a wasteful number, since it uses less digits than its factorization.

152914320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 152914320 is about 12365.8529831144. The cubic root of 152914320 is about 534.7482671651.

The spelling of 152914320 in words is "one hundred fifty-two million, nine hundred fourteen thousand, three hundred twenty".