132939724731968 has 1008 divisors, whose sum is σ = 361134974309760. Its totient is φ = 47379444203520.

The previous prime is 132939724731953. The next prime is 132939724731977. The reversal of 132939724731968 is 869137427939231.

It is a super-2 number, since 2×132939724731968² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132939724731895 and 132939724731904.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 290896552796 + ... + 290896553252.

It is an arithmetic number, because the mean of its divisors is an integer number (358268823720).

Almost surely, 2^{132939724731968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132939724731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180567487154880).

132939724731968 is an abundant number, since it is smaller than the sum of its proper divisors (228195249577792).

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

132939724731968 is a wasteful number, since it uses less digits than its factorization.

132939724731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 622 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 74.

The spelling of 132939724731968 in words is "one hundred thirty-two trillion, nine hundred thirty-nine billion, seven hundred twenty-four million, seven hundred thirty-one thousand, nine hundred sixty-eight".