137540316 has 48 divisors (see below), whose sum is σ = 345699200. Its totient is φ = 42420672.

The previous prime is 137540303. The next prime is 137540339. The reversal of 137540316 is 613045731.

137540316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790 + ... + 16818.

Almost surely, 2^137540316 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 137540316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172849600).

137540316 is an abundant number, since it is smaller than the sum of its proper divisors (208158884).

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

137540316 is a wasteful number, since it uses less digits than its factorization.

137540316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098 (or 14096 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137540316 is about 11727.7583535815. The cubic root of 137540316 is about 516.1904981382.

The spelling of 137540316 in words is "one hundred thirty-seven million, five hundred forty thousand, three hundred sixteen".