132713274960 has 320 divisors, whose sum is σ = 528726159360. Its totient is φ = 29968704000.

The previous prime is 132713274871. The next prime is 132713274979. The reversal of 132713274960 is 69472317231.

132713274960 is a `hidden beast` number, since 1 + 3 + 27 + 132 + 7 + 496 + 0 = 666.

It is a super-2 number, since 2×132713274960² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1202085 + ... + 1307835.

It is an arithmetic number, because the mean of its divisors is an integer number (1652269248).

Almost surely, 2^132713274960 is an apocalyptic number.

132713274960 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 132713274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264363079680).

132713274960 is an abundant number, since it is smaller than the sum of its proper divisors (396012884400).

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

132713274960 is a wasteful number, since it uses less digits than its factorization.

132713274960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105863 (or 105851 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 132713274960 in words is "one hundred thirty-two billion, seven hundred thirteen million, two hundred seventy-four thousand, nine hundred sixty".