137965 has 8 divisors (see below), whose sum is σ = 169848. Its totient is φ = 107520.

The previous prime is 137957. The next prime is 137983. The reversal of 137965 is 569731.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 137641 = 18^2 + 371^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137965 - 2³ = 137957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (21231).

2¹³⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

137965 is a deficient number, since it is larger than the sum of its proper divisors (31883).

137965 is an equidigital number, since it uses as much as digits as its factorization.

137965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719.

The product of its digits is 5670, while the sum is 31.

The square root of 137965 is about 371.4364010164. The cubic root of 137965 is about 51.6721233686.

It can be divided in two parts, 1379 and 65, that added together give a square (1444 = 38²).

The spelling of 137965 in words is "one hundred thirty-seven thousand, nine hundred sixty-five".