152109372142080 has 960 divisors, whose sum is σ = 549382379420160. Its totient is φ = 38847190007808.

The previous prime is 152109372142067. The next prime is 152109372142141. The reversal of 152109372142080 is 80241273901251.

152109372142080 is a `hidden beast` number, since 1 + 5 + 210 + 9 + 3 + 7 + 2 + 1 + 420 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×152109372142080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73732123129 + ... + 73732125191.

It is an arithmetic number, because the mean of its divisors is an integer number (572273311896).

Almost surely, 2^{152109372142080} is an apocalyptic number.

152109372142080 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 152109372142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274691189710080).

152109372142080 is an abundant number, since it is smaller than the sum of its proper divisors (397273007278080).

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

152109372142080 is a wasteful number, since it uses less digits than its factorization.

152109372142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 152109372142080 in words is "one hundred fifty-two trillion, one hundred nine billion, three hundred seventy-two million, one hundred forty-two thousand, eighty".