137490 has 16 divisors (see below), whose sum is σ = 330048. Its totient is φ = 36656.

The previous prime is 137483. The next prime is 137491. The reversal of 137490 is 94731.

Added to its reverse (94731) it gives a triangular number (232221 = T₆₈₁).

137490 is nontrivially palindromic in base 16.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 137490.

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

137490 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, 2262 + ... + 2321.

It is an arithmetic number, because the mean of its divisors is an integer number (20628).

2¹³⁷⁴⁹⁰ is an apocalyptic number.

137490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137490 is an abundant number, since it is smaller than the sum of its proper divisors (192558).

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

137490 is a wasteful number, since it uses less digits than its factorization.

137490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 137490 is about 370.7964401124. The cubic root of 137490 is about 51.6127544939.

Adding to 137490 its reverse (94731), we get a triangular number (232221 = T₆₈₁).

It can be divided in two parts, 13 and 7490, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 137490 in words is "one hundred thirty-seven thousand, four hundred ninety".