152564160 has 224 divisors, whose sum is σ = 562977792. Its totient is φ = 34283520.

The previous prime is 152564149. The next prime is 152564177. The reversal of 152564160 is 61465251.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 490405 + ... + 490715.

Almost surely, 2^152564160 is an apocalyptic number.

152564160 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 152564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281488896).

152564160 is an abundant number, since it is smaller than the sum of its proper divisors (410413632).

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

152564160 is a wasteful number, since it uses less digits than its factorization.

152564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 152564160 is about 12351.6865245196. The cubic root of 152564160 is about 534.3397801075.

The spelling of 152564160 in words is "one hundred fifty-two million, five hundred sixty-four thousand, one hundred sixty".