152564453414640 has 120 divisors (see below), whose sum is σ = 515755417495968. Its totient is φ = 40414424716800.

The previous prime is 152564453414621. The next prime is 152564453414663. The reversal of 152564453414640 is 46414354465251.

152564453414640 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 6 + 4 + 453 + 4 + 146 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 701530599 + ... + 701748038.

Almost surely, 2^{152564453414640} is an apocalyptic number.

152564453414640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152564453414640 is an abundant number, since it is smaller than the sum of its proper divisors (363190964081328).

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

152564453414640 is a wasteful number, since it uses less digits than its factorization.

152564453414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403278807 (or 1403278798 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 152564453414640 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, four hundred fifty-three million, four hundred fourteen thousand, six hundred forty".