132276275632656 has 320 divisors, whose sum is σ = 408788835840000. Its totient is φ = 40820585154048.

The previous prime is 132276275632651. The next prime is 132276275632661. The reversal of 132276275632656 is 656236572672231.

132276275632656 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 7 + 6 + 2 + 7 + 563 + 2 + 65 + 6 = 666.

132276275632656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132276275632651) and next prime (132276275632661).

It is a super-2 number, since 2×132276275632656² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132276275632593 and 132276275632602.

It is not an unprimeable number, because it can be changed into a prime (132276275632651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253966230 + ... + 254486538.

It is an arithmetic number, because the mean of its divisors is an integer number (1277465112000).

Almost surely, 2^{132276275632656} is an apocalyptic number.

132276275632656 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 132276275632656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204394417920000).

132276275632656 is an abundant number, since it is smaller than the sum of its proper divisors (276512560207344).

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

132276275632656 is a wasteful number, since it uses less digits than its factorization.

132276275632656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521051 (or 521039 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 63.

The spelling of 132276275632656 in words is "one hundred thirty-two trillion, two hundred seventy-six billion, two hundred seventy-five million, six hundred thirty-two thousand, six hundred fifty-six".