132811172640 has 192 divisors, whose sum is σ = 492182853120. Its totient is φ = 33332981760.

The previous prime is 132811172621. The next prime is 132811172671. The reversal of 132811172640 is 46271118231.

132811172640 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 1 + 1 + 7 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132811172595 and 132811172604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830776 + ... + 977655.

It is an arithmetic number, because the mean of its divisors is an integer number (2563452360).

Almost surely, 2^132811172640 is an apocalyptic number.

132811172640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132811172640 is an abundant number, since it is smaller than the sum of its proper divisors (359371680480).

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

132811172640 is a wasteful number, since it uses less digits than its factorization.

132811172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808472 (or 1808458 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

It can be divided in two parts, 13281 and 1172640, that added together give a 4-th power (1185921 = 33⁴).

The spelling of 132811172640 in words is "one hundred thirty-two billion, eight hundred eleven million, one hundred seventy-two thousand, six hundred forty".