133995106944 has 48 divisors (see below), whose sum is σ = 385584881370. Its totient is φ = 44665035264.

The previous prime is 133995106943. The next prime is 133995106961. The reversal of 133995106944 is 449601599331.

It is a happy number.

133995106944 is a `hidden beast` number, since 1 + 3 + 39 + 9 + 510 + 6 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115116346944 + 18878760000 = 339288^2 + 137400^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (133995106943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58156447 + ... + 58158750.

Almost surely, 2^133995106944 is an apocalyptic number.

It is an amenable number.

133995106944 is an abundant number, since it is smaller than the sum of its proper divisors (251589774426).

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

133995106944 is a wasteful number, since it uses less digits than its factorization.

133995106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116315217 (or 116315202 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 133995106944 in words is "one hundred thirty-three billion, nine hundred ninety-five million, one hundred six thousand, nine hundred forty-four".