137832084 has 96 divisors (see below), whose sum is σ = 388362240. Its totient is φ = 42021504.

The previous prime is 137832049. The next prime is 137832109. The reversal of 137832084 is 480238731.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 177922 + ... + 178694.

It is an arithmetic number, because the mean of its divisors is an integer number (4045440).

Almost surely, 2^137832084 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 137832084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194181120).

137832084 is an abundant number, since it is smaller than the sum of its proper divisors (250530156).

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

137832084 is a wasteful number, since it uses less digits than its factorization.

137832084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 137832084 is about 11740.1909694860. The cubic root of 137832084 is about 516.5552433096. Note that the first 3 decimals are identical.

The spelling of 137832084 in words is "one hundred thirty-seven million, eight hundred thirty-two thousand, eighty-four".