132144635161632 has 48 divisors (see below), whose sum is σ = 346881180602880. Its totient is φ = 44048019555072.

The previous prime is 132144635161577. The next prime is 132144635161733. The reversal of 132144635161632 is 236161536441231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×132144635161632³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20032833 + ... + 25799295.

It is an arithmetic number, because the mean of its divisors is an integer number (7226691262560).

Almost surely, 2^{132144635161632} is an apocalyptic number.

132144635161632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132144635161632 is an abundant number, since it is smaller than the sum of its proper divisors (214736545441248).

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

132144635161632 is a wasteful number, since it uses less digits than its factorization.

132144635161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005185 (or 6005177 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 132144635161632 in words is "one hundred thirty-two trillion, one hundred forty-four billion, six hundred thirty-five million, one hundred sixty-one thousand, six hundred thirty-two".