137496 has 32 divisors (see below), whose sum is σ = 365040. Its totient is φ = 43008.

The previous prime is 137491. The next prime is 137507. The reversal of 137496 is 694731.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137491) by changing a digit.

137496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 576.

2¹³⁷⁴⁹⁶ 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 137496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182520).

137496 is an abundant number, since it is smaller than the sum of its proper divisors (227544).

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

137496 is a wasteful number, since it uses less digits than its factorization.

137496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 137496 is about 370.8045307167. The cubic root of 137496 is about 51.6135052685.

The spelling of 137496 in words is "one hundred thirty-seven thousand, four hundred ninety-six".