133579992 has 128 divisors (see below), whose sum is σ = 424488960. Its totient is φ = 34076160.

The previous prime is 133579939. The next prime is 133580017. The reversal of 133579992 is 299975331.

It is a super-2 number, since 2×133579992² = 35687228525440128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66718 + ... + 68690.

It is an arithmetic number, because the mean of its divisors is an integer number (3316320).

Almost surely, 2^133579992 is an apocalyptic number.

133579992 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 133579992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212244480).

133579992 is an abundant number, since it is smaller than the sum of its proper divisors (290908968).

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

133579992 is a wasteful number, since it uses less digits than its factorization.

133579992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2029 counting only the distinct ones).

The product of its digits is 459270, while the sum is 48.

The square root of 133579992 is about 11557.6810822933. The cubic root of 133579992 is about 511.1877889722.

The spelling of 133579992 in words is "one hundred thirty-three million, five hundred seventy-nine thousand, nine hundred ninety-two".