152879708160 has 288 divisors, whose sum is σ = 533156616720. Its totient is φ = 40513830912.

The previous prime is 152879708147. The next prime is 152879708167. The reversal of 152879708160 is 61807978251.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 152879708097 and 152879708106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152879708167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15016992 + ... + 15027168.

Almost surely, 2^152879708160 is an apocalyptic number.

152879708160 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 152879708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266578308360).

152879708160 is an abundant number, since it is smaller than the sum of its proper divisors (380276908560).

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

152879708160 is a wasteful number, since it uses less digits than its factorization.

152879708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10350 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 152879708160 in words is "one hundred fifty-two billion, eight hundred seventy-nine million, seven hundred eight thousand, one hundred sixty".