132823232686256 has 240 divisors, whose sum is σ = 312975861596160. Its totient is φ = 53478218027520.

The previous prime is 132823232686213. The next prime is 132823232686283. The reversal of 132823232686256 is 652686232328231.

It is a super-2 number, since 2×132823232686256² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132823232686195 and 132823232686204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893918786 + ... + 894067358.

It is an arithmetic number, because the mean of its divisors is an integer number (1304066089984).

Almost surely, 2^{132823232686256} is an apocalyptic number.

132823232686256 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 132823232686256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156487930798080).

132823232686256 is an abundant number, since it is smaller than the sum of its proper divisors (180152628909904).

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

132823232686256 is a wasteful number, since it uses less digits than its factorization.

132823232686256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148904 (or 148875 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 59.

The spelling of 132823232686256 in words is "one hundred thirty-two trillion, eight hundred twenty-three billion, two hundred thirty-two million, six hundred eighty-six thousand, two hundred fifty-six".