132040627724160 has 768 divisors, whose sum is σ = 487021766400000. Its totient is φ = 32848478208000.

The previous prime is 132040627724147. The next prime is 132040627724209. The reversal of 132040627724160 is 61427726040231.

132040627724160 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 0 + 627 + 7 + 2 + 4 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15532359910 + ... + 15532368410.

It is an arithmetic number, because the mean of its divisors is an integer number (634142925000).

Almost surely, 2^{132040627724160} is an apocalyptic number.

132040627724160 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 132040627724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243510883200000).

132040627724160 is an abundant number, since it is smaller than the sum of its proper divisors (354981138675840).

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

132040627724160 is a wasteful number, since it uses less digits than its factorization.

132040627724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9919 (or 9904 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 132040627724160 in words is "one hundred thirty-two trillion, forty billion, six hundred twenty-seven million, seven hundred twenty-four thousand, one hundred sixty".