132153304611312 has 100 divisors (see below), whose sum is σ = 382509775873456. Its totient is φ = 44048824462080.

The previous prime is 132153304611311. The next prime is 132153304611313. The reversal of 132153304611312 is 213116403351231.

132153304611312 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 3 + 3 + 0 + 4 + 611 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (132153304611311) and next prime (132153304611313).

It is a super-2 number, since 2×132153304611312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132153304611311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22538637 + ... + 27790227.

Almost surely, 2^{132153304611312} is an apocalyptic number.

132153304611312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132153304611312 is an abundant number, since it is smaller than the sum of its proper divisors (250356471262144).

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

132153304611312 is a wasteful number, since it uses less digits than its factorization.

132153304611312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271028 (or 5271013 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 132153304611312 its reverse (213116403351231), we get a palindrome (345269707962543).

The spelling of 132153304611312 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, three hundred four million, six hundred eleven thousand, three hundred twelve".