133972992 has 66 divisors (see below), whose sum is σ = 386870718. Its totient is φ = 44654592.

The previous prime is 133972991. The next prime is 133972997. The reversal of 133972992 is 299279331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 34292736 = 9984^2 + 5856^2 .

It is not an unprimeable number, because it can be changed into a prime (133972991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1948 + ... + 16484.

Almost surely, 2^133972992 is an apocalyptic number.

133972992 is a gapful number since it is divisible by the number (12) 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 133972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193435359).

133972992 is an abundant number, since it is smaller than the sum of its proper divisors (252897726).

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

133972992 is a wasteful number, since it uses less digits than its factorization.

133972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14563 (or 14542 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 133972992 is about 11574.6702760813. The cubic root of 133972992 is about 511.6886127428.

The spelling of 133972992 in words is "one hundred thirty-three million, nine hundred seventy-two thousand, nine hundred ninety-two".