164557136160 has 72 divisors (see below), whose sum is σ = 561551232060. Its totient is φ = 43881902592.

The previous prime is 164557136147. The next prime is 164557136189. The reversal of 164557136160 is 61631755461.

164557136160 is a `hidden beast` number, since 1 + 6 + 4 + 557 + 1 + 36 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133087795344 + 31469340816 = 364812^2 + 177396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×164557136160² (a number of 23 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 11 ways as a sum of consecutive naturals, for example, 57136455 + ... + 57139334.

Almost surely, 2^164557136160 is an apocalyptic number.

164557136160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164557136160 is an abundant number, since it is smaller than the sum of its proper divisors (396994095900).

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

164557136160 is a wasteful number, since it uses less digits than its factorization.

164557136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114275810 (or 114275799 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 164557136160 in words is "one hundred sixty-four billion, five hundred fifty-seven million, one hundred thirty-six thousand, one hundred sixty".