137238084 has 48 divisors (see below), whose sum is σ = 357719040. Its totient is φ = 45499680.

The previous prime is 137238067. The next prime is 137238103. The reversal of 137238084 is 480832731.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17302 + ... + 23954.

It is an arithmetic number, because the mean of its divisors is an integer number (7452480).

Almost surely, 2^137238084 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 137238084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178859520).

137238084 is an abundant number, since it is smaller than the sum of its proper divisors (220480956).

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

137238084 is a wasteful number, since it uses less digits than its factorization.

137238084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6857 (or 6849 counting only the distinct ones).

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

The square root of 137238084 is about 11714.8659403341. The cubic root of 137238084 is about 515.8121273865.

The spelling of 137238084 in words is "one hundred thirty-seven million, two hundred thirty-eight thousand, eighty-four".