137379 has 16 divisors (see below), whose sum is σ = 209664. Its totient is φ = 79200.

The previous prime is 137369. The next prime is 137383. The reversal of 137379 is 973731.

137379 = 66² + 67² + ... + 88².

It is not a de Polignac number, because 137379 - 2⁴ = 137363 is a prime.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2¹³⁷³⁷⁹ is an apocalyptic number.

137379 is a deficient number, since it is larger than the sum of its proper divisors (72285).

137379 is a wasteful number, since it uses less digits than its factorization.

137379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its digits is 3969, while the sum is 30.

The square root of 137379 is about 370.6467320779. The cubic root of 137379 is about 51.5988612212.

The spelling of 137379 in words is "one hundred thirty-seven thousand, three hundred seventy-nine".