137380 has 12 divisors (see below), whose sum is σ = 288540. Its totient is φ = 54944.

The previous prime is 137369. The next prime is 137383. The reversal of 137380 is 83731.

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 118336 = 138^2 + 344^2 .

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137383) 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, 3415 + ... + 3454.

It is an arithmetic number, because the mean of its divisors is an integer number (24045).

2¹³⁷³⁸⁰ is an apocalyptic number.

137380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137380 is an abundant number, since it is smaller than the sum of its proper divisors (151160).

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

137380 is a wasteful number, since it uses less digits than its factorization.

137380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6876 counting only the distinct ones).

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

The square root of 137380 is about 370.6480810688. The cubic root of 137380 is about 51.5989864192.

The spelling of 137380 in words is "one hundred thirty-seven thousand, three hundred eighty".