152164500480 has 1056 divisors, whose sum is σ = 593344402560. Its totient is φ = 37265080320.

The previous prime is 152164500457. The next prime is 152164500487. The reversal of 152164500480 is 84005461251.

It is a happy number.

152164500480 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 645 + 0 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152164500487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 969200562 + ... + 969200718.

Almost surely, 2^152164500480 is an apocalyptic number.

152164500480 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 152164500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296672201280).

152164500480 is an abundant number, since it is smaller than the sum of its proper divisors (441179902080).

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

152164500480 is a wasteful number, since it uses less digits than its factorization.

152164500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 152164500480 in words is "one hundred fifty-two billion, one hundred sixty-four million, five hundred thousand, four hundred eighty".