137501 has 8 divisors (see below), whose sum is σ = 169344. Its totient is φ = 108720.

The previous prime is 137491. The next prime is 137507. The reversal of 137501 is 105731.

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

It is a cyclic number.

It is not a de Polignac number, because 137501 - 2⁶ = 137437 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 665 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2¹³⁷⁵⁰¹ is an apocalyptic number.

It is an amenable number.

137501 is a deficient number, since it is larger than the sum of its proper divisors (31843).

137501 is a wasteful number, since it uses less digits than its factorization.

137501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 137501 is about 370.8112727521. The cubic root of 137501 is about 51.6141308974.

The spelling of 137501 in words is "one hundred thirty-seven thousand, five hundred one".