133609525945632 has 576 divisors, whose sum is σ = 453494111616000. Its totient is φ = 36858534451200.

The previous prime is 133609525945631. The next prime is 133609525945639. The reversal of 133609525945632 is 236549525906331.

133609525945632 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 0 + 9 + 5 + 2 + 594 + 5 + 6 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133609525945632.

It is not an unprimeable number, because it can be changed into a prime (133609525945631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 368133469 + ... + 368496227.

It is an arithmetic number, because the mean of its divisors is an integer number (787316166000).

Almost surely, 2^{133609525945632} is an apocalyptic number.

133609525945632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133609525945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226747055808000).

133609525945632 is an abundant number, since it is smaller than the sum of its proper divisors (319884585670368).

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

133609525945632 is a wasteful number, since it uses less digits than its factorization.

133609525945632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363045 (or 363034 counting only the distinct ones).

The product of its (nonzero) digits is 157464000, while the sum is 63.

The spelling of 133609525945632 in words is "one hundred thirty-three trillion, six hundred nine billion, five hundred twenty-five million, nine hundred forty-five thousand, six hundred thirty-two".