133812972 has 60 divisors (see below), whose sum is σ = 368241720. Its totient is φ = 42254784.

The previous prime is 133812941. The next prime is 133812977. The reversal of 133812972 is 279218331.

It is a super-2 number, since 2×133812972² = 35811822950945568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (133812977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4713 + ... + 17024.

It is an arithmetic number, because the mean of its divisors is an integer number (6137362).

Almost surely, 2^133812972 is an apocalyptic number.

133812972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133812972 is an abundant number, since it is smaller than the sum of its proper divisors (234428748).

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

133812972 is a wasteful number, since it uses less digits than its factorization.

133812972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21772 (or 21761 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 133812972 is about 11567.7557028146. The cubic root of 133812972 is about 511.4848079010.

The spelling of 133812972 in words is "one hundred thirty-three million, eight hundred twelve thousand, nine hundred seventy-two".