133707215520 has 144 divisors (see below), whose sum is σ = 456376487112. Its totient is φ = 35647395840.

The previous prime is 133707215513. The next prime is 133707215563. The reversal of 133707215520 is 25512707331.

It is a happy number.

133707215520 is a `hidden beast` number, since 1 + 3 + 37 + 0 + 72 + 1 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131760288144 + 1946927376 = 362988^2 + 44124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×133707215520² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9757794 + ... + 9771486.

Almost surely, 2^133707215520 is an apocalyptic number.

133707215520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133707215520 is an abundant number, since it is smaller than the sum of its proper divisors (322669271592).

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

133707215520 is a wasteful number, since it uses less digits than its factorization.

133707215520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20495 (or 20484 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 133707215520 in words is "one hundred thirty-three billion, seven hundred seven million, two hundred fifteen thousand, five hundred twenty".