137834316 has 36 divisors (see below), whose sum is σ = 348918024. Its totient is φ = 45878400.

The previous prime is 137834311. The next prime is 137834321. The reversal of 137834316 is 613438731.

137834316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137834311) and next prime (137834321).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137834311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26836 + ... + 31556.

Almost surely, 2^137834316 is an apocalyptic number.

It is an amenable number.

137834316 is an abundant number, since it is smaller than the sum of its proper divisors (211083708).

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

137834316 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (137834315) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (5542).

137834316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5537 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 137834316 is about 11740.2860271801. The cubic root of 137834316 is about 516.5580315939.

The spelling of 137834316 in words is "one hundred thirty-seven million, eight hundred thirty-four thousand, three hundred sixteen".