132501720456 has 320 divisors, whose sum is σ = 431578080000. Its totient is φ = 37663968384.

The previous prime is 132501720401. The next prime is 132501720469. The reversal of 132501720456 is 654027105231.

132501720456 is a `hidden beast` number, since 1 + 32 + 5 + 0 + 172 + 0 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132501720456.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123948690 + ... + 123949758.

It is an arithmetic number, because the mean of its divisors is an integer number (1348681500).

Almost surely, 2^132501720456 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 132501720456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215789040000).

132501720456 is an abundant number, since it is smaller than the sum of its proper divisors (299076359544).

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

132501720456 is a wasteful number, since it uses less digits than its factorization.

132501720456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 132501720456 its reverse (654027105231), we get a palindrome (786528825687).

The spelling of 132501720456 in words is "one hundred thirty-two billion, five hundred one million, seven hundred twenty thousand, four hundred fifty-six".