133137959136 has 384 divisors, whose sum is σ = 442337366016. Its totient is φ = 34124267520.

The previous prime is 133137959131. The next prime is 133137959153. The reversal of 133137959136 is 631959731331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133137959131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 120704761 + ... + 120705863.

It is an arithmetic number, because the mean of its divisors is an integer number (1151920224).

Almost surely, 2^133137959136 is an apocalyptic number.

133137959136 is a gapful number since it is divisible by the number (16) 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 133137959136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221168683008).

133137959136 is an abundant number, since it is smaller than the sum of its proper divisors (309199406880).

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

133137959136 is a wasteful number, since it uses less digits than its factorization.

133137959136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1506 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 51.

The spelling of 133137959136 in words is "one hundred thirty-three billion, one hundred thirty-seven million, nine hundred fifty-nine thousand, one hundred thirty-six".