132624336517696 has 189 divisors, whose sum is σ = 271524544760721. Its totient is φ = 64272914294784.

The previous prime is 132624336517693. The next prime is 132624336517709. The reversal of 132624336517696 is 696715633426231.

The square root of 132624336517696 is 11516264.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10829627905600 + 121794708612096 = 3290840^2 + 11036064^2 .

It is a super-2 number, since 2×132624336517696² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132624336517693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 766614661866 + ... + 766614662038.

Almost surely, 2^{132624336517696} is an apocalyptic number.

132624336517696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132624336517696 is the 11516264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132624336517696

132624336517696 is an abundant number, since it is smaller than the sum of its proper divisors (138900208243025).

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

132624336517696 is an frugal number, since it uses more digits than its factorization.

132624336517696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 385 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 64.

132624336517696 divided by its sum of digits (64) gives a square (2072255258089 = 1439533²).

The spelling of 132624336517696 in words is "one hundred thirty-two trillion, six hundred twenty-four billion, three hundred thirty-six million, five hundred seventeen thousand, six hundred ninety-six".