137484 has 48 divisors (see below), whose sum is σ = 380800. Its totient is φ = 42768.

The previous prime is 137483. The next prime is 137491. The reversal of 137484 is 484731.

137484 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (137483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019 + ... + 2085.

2¹³⁷⁴⁸⁴ 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 137484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190400).

137484 is an abundant number, since it is smaller than the sum of its proper divisors (243316).

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

137484 is a wasteful number, since it uses less digits than its factorization.

137484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 137484 is about 370.7883493315. The cubic root of 137484 is about 51.6120036974.

The spelling of 137484 in words is "one hundred thirty-seven thousand, four hundred eighty-four".