137641 has 9 divisors (see below), whose sum is σ = 163191. Its totient is φ = 115752.

The previous prime is 137639. The next prime is 137653. The reversal of 137641 is 146731.

137641 = T₃₇₀ + T₃₇₁.

The square root of 137641 is 371.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 38416 = 315^2 + 196^2 .

It is not a de Polignac number, because 137641 - 2¹ = 137639 is a prime.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2571 + ... + 2623.

137641 is a Friedman number, since it can be written as (364+7)^(1+1), using all its digits and the basic arithmetic operations.

2¹³⁷⁶⁴¹ is an apocalyptic number.

137641 is the 371-st square number.

137641 is the 186-th centered octagonal number.

It is an amenable number.

137641 is a deficient number, since it is larger than the sum of its proper divisors (25550).

137641 is an frugal number, since it uses more digits than its factorization.

137641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

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

The cubic root of 137641 is about 51.6316423513.

The spelling of 137641 in words is "one hundred thirty-seven thousand, six hundred forty-one".