137339424 has 72 divisors (see below), whose sum is σ = 403183872. Its totient is φ = 44300160.

The previous prime is 137339407. The next prime is 137339437. The reversal of 137339424 is 424933731.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 1237 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (5599776).

Almost surely, 2^137339424 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 137339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201591936).

137339424 is an abundant number, since it is smaller than the sum of its proper divisors (265844448).

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

137339424 is a wasteful number, since it uses less digits than its factorization.

137339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15430 (or 15419 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 137339424 is about 11719.1904157241. The cubic root of 137339424 is about 515.9390589649.

The spelling of 137339424 in words is "one hundred thirty-seven million, three hundred thirty-nine thousand, four hundred twenty-four".