137389440 has 128 divisors (see below), whose sum is σ = 441619200. Its totient is φ = 36329472.

The previous prime is 137389423. The next prime is 137389451. The reversal of 137389440 is 44983731.

137389440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 312741 + ... + 313179.

It is an arithmetic number, because the mean of its divisors is an integer number (3450150).

Almost surely, 2^137389440 is an apocalyptic number.

137389440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220809600).

137389440 is an abundant number, since it is smaller than the sum of its proper divisors (304229760).

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

137389440 is a wasteful number, since it uses less digits than its factorization.

137389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 137389440 is about 11721.3241572785. The cubic root of 137389440 is about 516.0016825857.

The spelling of 137389440 in words is "one hundred thirty-seven million, three hundred eighty-nine thousand, four hundred forty".