132801237504 has 960 divisors, whose sum is σ = 471457324800. Its totient is φ = 36612145152.

The previous prime is 132801237469. The next prime is 132801237521. The reversal of 132801237504 is 405732108231.

132801237504 is a `hidden beast` number, since 1 + 3 + 28 + 0 + 123 + 7 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1492148692 + ... + 1492148780.

It is an arithmetic number, because the mean of its divisors is an integer number (491101380).

Almost surely, 2^132801237504 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 132801237504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235728662400).

132801237504 is an abundant number, since it is smaller than the sum of its proper divisors (338656087296).

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

132801237504 is a wasteful number, since it uses less digits than its factorization.

132801237504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 132801237504 in words is "one hundred thirty-two billion, eight hundred one million, two hundred thirty-seven thousand, five hundred four".