152379442160 has 320 divisors, whose sum is σ = 419223168000. Its totient is φ = 50911027200.

The previous prime is 152379442153. The next prime is 152379442181. The reversal of 152379442160 is 61244973251.

152379442160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136417922 + ... + 136419038.

It is an arithmetic number, because the mean of its divisors is an integer number (1310072400).

Almost surely, 2^152379442160 is an apocalyptic number.

152379442160 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 152379442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209611584000).

152379442160 is an abundant number, since it is smaller than the sum of its proper divisors (266843725840).

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

152379442160 is a wasteful number, since it uses less digits than its factorization.

152379442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 152379442160 in words is "one hundred fifty-two billion, three hundred seventy-nine million, four hundred forty-two thousand, one hundred sixty".