133872984 has 48 divisors (see below), whose sum is σ = 414370320. Its totient is φ = 38249280.

The previous prime is 133872971. The next prime is 133873001. The reversal of 133872984 is 489278331.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132307 + ... + 133314.

It is an arithmetic number, because the mean of its divisors is an integer number (8632715).

Almost surely, 2^133872984 is an apocalyptic number.

133872984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133872984 is an abundant number, since it is smaller than the sum of its proper divisors (280497336).

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

133872984 is a wasteful number, since it uses less digits than its factorization.

133872984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265640 (or 265633 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 133872984 is about 11570.3493464977. The cubic root of 133872984 is about 511.5612594793.

The spelling of 133872984 in words is "one hundred thirty-three million, eight hundred seventy-two thousand, nine hundred eighty-four".