152070076114560 has 256 divisors, whose sum is σ = 538728217747200. Its totient is φ = 40540974796800.

The previous prime is 152070076114519. The next prime is 152070076114673. The reversal of 152070076114560 is 65411670070251.

152070076114560 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 7 + 0 + 0 + 76 + 1 + 14 + 560 = 666.

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 31 ways as a sum of consecutive naturals, for example, 62341885 + ... + 64735235.

It is an arithmetic number, because the mean of its divisors is an integer number (2104407100575).

Almost surely, 2^{152070076114560} is an apocalyptic number.

152070076114560 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 152070076114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269364108873600).

152070076114560 is an abundant number, since it is smaller than the sum of its proper divisors (386658141632640).

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

152070076114560 is a wasteful number, since it uses less digits than its factorization.

152070076114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397056 (or 2397038 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 152070076114560 in words is "one hundred fifty-two trillion, seventy billion, seventy-six million, one hundred fourteen thousand, five hundred sixty".