137343816 has 128 divisors (see below), whose sum is σ = 408758400. Its totient is φ = 42577920.

The previous prime is 137343803. The next prime is 137343827. The reversal of 137343816 is 618343731.

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

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 31 ways as a sum of consecutive naturals, for example, 414771 + ... + 415101.

It is an arithmetic number, because the mean of its divisors is an integer number (3193425).

Almost surely, 2^137343816 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 137343816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204379200).

137343816 is an abundant number, since it is smaller than the sum of its proper divisors (271414584).

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

137343816 is a wasteful number, since it uses less digits than its factorization.

137343816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

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

The square root of 137343816 is about 11719.3777991837. The cubic root of 137343816 is about 515.9445586729.

The spelling of 137343816 in words is "one hundred thirty-seven million, three hundred forty-three thousand, eight hundred sixteen".