137916340 has 12 divisors (see below), whose sum is σ = 289624356. Its totient is φ = 55166528.

The previous prime is 137916319. The next prime is 137916367. The reversal of 137916340 is 43619731.

137916340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87534736 + 50381604 = 9356^2 + 7098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137916296 and 137916305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3447889 + ... + 3447928.

It is an arithmetic number, because the mean of its divisors is an integer number (24135363).

Almost surely, 2^137916340 is an apocalyptic number.

137916340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137916340 is an abundant number, since it is smaller than the sum of its proper divisors (151708016).

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

137916340 is a wasteful number, since it uses less digits than its factorization.

137916340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895826 (or 6895824 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 137916340 is about 11743.7787785704. The cubic root of 137916340 is about 516.6604776690.

The spelling of 137916340 in words is "one hundred thirty-seven million, nine hundred sixteen thousand, three hundred forty".