133020525244032 has 48 divisors (see below), whose sum is σ = 382780417697730. Its totient is φ = 44340175080960.

The previous prime is 133020525244001. The next prime is 133020525244063. The reversal of 133020525244032 is 230442525020331.

133020525244032 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 205 + 2 + 5 + 2 + 440 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133020525244001) and next prime (133020525244063).

It can be written as a sum of positive squares in only one way, i.e., 109234771983936 + 23785753260096 = 10451544^2 + 4877064^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57734601819 + ... + 57734604122.

Almost surely, 2^{133020525244032} is an apocalyptic number.

133020525244032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133020525244032 is an abundant number, since it is smaller than the sum of its proper divisors (249759892453698).

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

133020525244032 is a wasteful number, since it uses less digits than its factorization.

133020525244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115469205961 (or 115469205946 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 133020525244032 in words is "one hundred thirty-three trillion, twenty billion, five hundred twenty-five million, two hundred forty-four thousand, thirty-two".