137209374 has 48 divisors (see below), whose sum is σ = 318112080. Its totient is φ = 42612480.

The previous prime is 137209351. The next prime is 137209381. The reversal of 137209374 is 473902731.

137209374 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17574 + ... + 24150.

It is an arithmetic number, because the mean of its divisors is an integer number (6627335).

Almost surely, 2^137209374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137209374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159056040).

137209374 is an abundant number, since it is smaller than the sum of its proper divisors (180902706).

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

137209374 is a wasteful number, since it uses less digits than its factorization.

137209374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 137209374 is about 11713.6405101062. The cubic root of 137209374 is about 515.7761558385.

It can be divided in two parts, 13720937 and 4, that added together give a triangular number (13720941 = T₅₂₃₈).

The spelling of 137209374 in words is "one hundred thirty-seven million, two hundred nine thousand, three hundred seventy-four".