132586565861376 has 1377 divisors, whose sum is σ = 445503705064873. Its totient is φ = 37966939422720.

The previous prime is 132586565861371. The next prime is 132586565861377. The reversal of 132586565861376 is 673168565685231.

The square root of 132586565861376 is 11514624.

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

132586565861376 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 8 + 6 + 5 + 6 + 586 + 1 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69525179006976 + 63061386854400 = 8338176^2 + 7941120^2 .

It is a super-2 number, since 2×132586565861376² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132586565861371) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2820990762985 + ... + 2820990763031.

Almost surely, 2^{132586565861376} is an apocalyptic number.

132586565861376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132586565861376 is the 11514624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132586565861376

132586565861376 is an abundant number, since it is smaller than the sum of its proper divisors (312917139203497).

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

132586565861376 is an frugal number, since it uses more digits than its factorization.

132586565861376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 92 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 72.

The spelling of 132586565861376 in words is "one hundred thirty-two trillion, five hundred eighty-six billion, five hundred sixty-five million, eight hundred sixty-one thousand, three hundred seventy-six".