132170056704 has 297 divisors, whose sum is σ = 444768563421. Its totient is φ = 37693071360.

The previous prime is 132170056657. The next prime is 132170056729. The reversal of 132170056704 is 407650071231.

It is a happy number.

The square root of 132170056704 is 363552.

It is a perfect power (a square), and thus also a powerful number.

132170056704 is a `hidden beast` number, since 1 + 3 + 21 + 70 + 0 + 567 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52510639104 + 79659417600 = 229152^2 + 282240^2 .

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 26 ways as a sum of consecutive naturals, for example, 244306674 + ... + 244307214.

Almost surely, 2^132170056704 is an apocalyptic number.

132170056704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132170056704 is the 363552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132170056704

132170056704 is an abundant number, since it is smaller than the sum of its proper divisors (312598506717).

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

132170056704 is an frugal number, since it uses more digits than its factorization.

132170056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 132170056704 by its sum of digits (36), we get a square (4758122041344 = 2181312²).

132170056704 divided by its sum of digits (36) gives a square (3671390464 = 60592²).

The spelling of 132170056704 in words is "one hundred thirty-two billion, one hundred seventy million, fifty-six thousand, seven hundred four".