152195074560 has 240 divisors, whose sum is σ = 528615780264. Its totient is φ = 40468217856.

The previous prime is 152195074547. The next prime is 152195074607. The reversal of 152195074560 is 65470591251.

It is a happy number.

152195074560 is a `hidden beast` number, since 1 + 5 + 2 + 19 + 5 + 0 + 74 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133885737216 + 18309337344 = 365904^2 + 135312^2 .

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 (45).

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, 8123764 + ... + 8142476.

Almost surely, 2^152195074560 is an apocalyptic number.

152195074560 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 152195074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264307890132).

152195074560 is an abundant number, since it is smaller than the sum of its proper divisors (376420705704).

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

152195074560 is a wasteful number, since it uses less digits than its factorization.

152195074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19095 (or 19076 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 152195074560 in words is "one hundred fifty-two billion, one hundred ninety-five million, seventy-four thousand, five hundred sixty".