137416 has 16 divisors (see below), whose sum is σ = 261900. Its totient is φ = 67584.

The previous prime is 137413. The next prime is 137437. The reversal of 137416 is 614731.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 12100 = 354^2 + 110^2 .

It is not an unprimeable number, because it can be changed into a prime (137413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 616 + ... + 808.

2¹³⁷⁴¹⁶ is an apocalyptic number.

It is an amenable number.

137416 is a deficient number, since it is larger than the sum of its proper divisors (124484).

137416 is a wasteful number, since it uses less digits than its factorization.

137416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 137416 is about 370.6966414739. The cubic root of 137416 is about 51.6034931433.

The spelling of 137416 in words is "one hundred thirty-seven thousand, four hundred sixteen".