132150634516224 has 216 divisors, whose sum is σ = 383762350062000. Its totient is φ = 43733778923520.

The previous prime is 132150634516127. The next prime is 132150634516247. The reversal of 132150634516224 is 422615436051231.

132150634516224 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 0 + 634 + 5 + 1 + 6 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×132150634516224² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132150634516224.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 730786779 + ... + 730967589.

Almost surely, 2^{132150634516224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132150634516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191881175031000).

132150634516224 is an abundant number, since it is smaller than the sum of its proper divisors (251611715545776).

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

132150634516224 is a wasteful number, since it uses less digits than its factorization.

132150634516224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183111 (or 183094 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 132150634516224 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred thirty-four million, five hundred sixteen thousand, two hundred twenty-four".