152003566080 has 240 divisors, whose sum is σ = 557399071944. Its totient is φ = 38149816320.

The previous prime is 152003565997. The next prime is 152003566151. The reversal of 152003566080 is 80665300251.

152003566080 is a `hidden beast` number, since 1 + 520 + 0 + 3 + 56 + 6 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87796060416 + 64207505664 = 296304^2 + 253392^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197640 + ... + 585720.

Almost surely, 2^152003566080 is an apocalyptic number.

152003566080 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 152003566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278699535972).

152003566080 is an abundant number, since it is smaller than the sum of its proper divisors (405395505864).

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

152003566080 is a wasteful number, since it uses less digits than its factorization.

152003566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388127 (or 388108 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 152003566080 in words is "one hundred fifty-two billion, three million, five hundred sixty-six thousand, eighty".