133981584 has 80 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 39729280.

The previous prime is 133981577. The next prime is 133981591. The reversal of 133981584 is 485189331.

It is an interprime number because it is at equal distance from previous prime (133981577) and next prime (133981591).

It is a super-2 number, since 2×133981584² = 35902129702298112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22117 + ... + 27515.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^133981584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133981584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

133981584 is an abundant number, since it is smaller than the sum of its proper divisors (251708016).

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

133981584 is a wasteful number, since it uses less digits than its factorization.

133981584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5462 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 133981584 is about 11575.0414254118. The cubic root of 133981584 is about 511.6995511031.

The spelling of 133981584 in words is "one hundred thirty-three million, nine hundred eighty-one thousand, five hundred eighty-four".