132909629331456 has 960 divisors, whose sum is σ = 422324183080800. Its totient is φ = 41528205508608.

The previous prime is 132909629331433. The next prime is 132909629331461. The reversal of 132909629331456 is 654133926909231.

132909629331456 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 0 + 9 + 62 + 93 + 31 + 456 = 666.

It is a super-2 number, since 2×132909629331456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132909629331393 and 132909629331402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166762395250 + ... + 166762396046.

Almost surely, 2^{132909629331456} is an apocalyptic number.

132909629331456 is a gapful number since it is divisible by the number (16) 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 132909629331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211162091540400).

132909629331456 is an abundant number, since it is smaller than the sum of its proper divisors (289414553749344).

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

132909629331456 is a wasteful number, since it uses less digits than its factorization.

132909629331456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 132909629331456 in words is "one hundred thirty-two trillion, nine hundred nine billion, six hundred twenty-nine million, three hundred thirty-one thousand, four hundred fifty-six".