132138192962952 has 288 divisors, whose sum is σ = 408027011814240. Its totient is φ = 40032849542400.

The previous prime is 132138192962947. The next prime is 132138192962953. The reversal of 132138192962952 is 259269291831231.

132138192962952 is a `hidden beast` number, since 1 + 3 + 21 + 38 + 1 + 9 + 296 + 295 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132138192962952.

It is not an unprimeable number, because it can be changed into a prime (132138192962953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1082675052 + ... + 1082797092.

Almost surely, 2^{132138192962952} is an apocalyptic number.

132138192962952 is a gapful number since it is divisible by the number (12) 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 132138192962952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204013505907120).

132138192962952 is an abundant number, since it is smaller than the sum of its proper divisors (275888818851288).

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

132138192962952 is a wasteful number, since it uses less digits than its factorization.

132138192962952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126687 (or 126660 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 132138192962952 in words is "one hundred thirty-two trillion, one hundred thirty-eight billion, one hundred ninety-two million, nine hundred sixty-two thousand, nine hundred fifty-two".