152456064 has 64 divisors (see below), whose sum is σ = 409236240. Its totient is φ = 50282496.

The previous prime is 152456053. The next prime is 152456071. The reversal of 152456064 is 460654251.

It is a tau number, because it is divible by the number of its divisors (64).

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, 35202 + ... + 39294.

Almost surely, 2^152456064 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 152456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204618120).

152456064 is an abundant number, since it is smaller than the sum of its proper divisors (256780176).

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

152456064 is an equidigital number, since it uses as much as digits as its factorization.

152456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 152456064 is about 12347.3099904392. The cubic root of 152456064 is about 534.2135520346.

The spelling of 152456064 in words is "one hundred fifty-two million, four hundred fifty-six thousand, sixty-four".