133024734164100 has 72 divisors (see below), whose sum is σ = 384950170549728. Its totient is φ = 35467246496000.

The previous prime is 133024734164089. The next prime is 133024734164131. The reversal of 133024734164100 is 1461437420331.

It is a happy number.

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, 35827626 + ... + 39365825.

It is an arithmetic number, because the mean of its divisors is an integer number (5346530146524).

Almost surely, 2^{133024734164100} is an apocalyptic number.

133024734164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133024734164100 is an abundant number, since it is smaller than the sum of its proper divisors (251925436385628).

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

133024734164100 is a wasteful number, since it uses less digits than its factorization.

133024734164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75199365 (or 75199358 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 133024734164100 in words is "one hundred thirty-three trillion, twenty-four billion, seven hundred thirty-four million, one hundred sixty-four thousand, one hundred".