137340416 has 80 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 62423040.

The previous prime is 137340397. The next prime is 137340421. The reversal of 137340416 is 614043731.

137340416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×137340416³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269570 + ... + 270078.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456).

Almost surely, 2^137340416 is an apocalyptic number.

137340416 is a gapful number since it is divisible by the number (16) 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 137340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

137340416 is an abundant number, since it is smaller than the sum of its proper divisors (163176064).

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

137340416 is an equidigital number, since it uses as much as digits as its factorization.

137340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 137340416 is about 11719.2327393904. The cubic root of 137340416 is about 515.9403011678.

The spelling of 137340416 in words is "one hundred thirty-seven million, three hundred forty thousand, four hundred sixteen".