132475616784 has 225 divisors, whose sum is σ = 433213144143. Its totient is φ = 37789028928.

The previous prime is 132475616699. The next prime is 132475616813. The reversal of 132475616784 is 487616574231.

The square root of 132475616784 is 363972.

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

132475616784 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 7 + 561 + 6 + 78 + 4 = 666.

Its product of digits (6773760) is a multiple of the sum of its prime factors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 132475616784.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 214015227 + ... + 214015845.

Almost surely, 2^132475616784 is an apocalyptic number.

132475616784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132475616784 is the 363972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132475616784

132475616784 is an abundant number, since it is smaller than the sum of its proper divisors (300737527359).

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

132475616784 is an frugal number, since it uses more digits than its factorization.

132475616784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 631 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 132475616784 in words is "one hundred thirty-two billion, four hundred seventy-five million, six hundred sixteen thousand, seven hundred eighty-four".