137413360 has 80 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 46303488.

The previous prime is 137413351. The next prime is 137413361. The reversal of 137413360 is 63314731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137413361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30961 + ... + 35119.

It is an arithmetic number, because the mean of its divisors is an integer number (4642560).

Almost surely, 2^137413360 is an apocalyptic number.

137413360 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 137413360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

137413360 is an abundant number, since it is smaller than the sum of its proper divisors (233991440).

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

137413360 is a wasteful number, since it uses less digits than its factorization.

137413360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 137413360 is about 11722.3444754025. The cubic root of 137413360 is about 516.0316267697.

The spelling of 137413360 in words is "one hundred thirty-seven million, four hundred thirteen thousand, three hundred sixty".