137853 has 18 divisors (see below), whose sum is σ = 215514. Its totient is φ = 84864.

The previous prime is 137849. The next prime is 137867. The reversal of 137853 is 358731.

It can be written as a sum of positive squares in 3 ways, for example, as 71289 + 66564 = 267^2 + 258^2 .

It is not a de Polignac number, because 137853 - 2² = 137849 is a prime.

It is a d-powerful number, because it can be written as 1 + 3 + 8³ + 7⁶ + 5 + 3⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2575 + ... + 2627.

It is an arithmetic number, because the mean of its divisors is an integer number (11973).

2¹³⁷⁸⁵³ is an apocalyptic number.

It is an amenable number.

137853 is a deficient number, since it is larger than the sum of its proper divisors (77661).

137853 is a wasteful number, since it uses less digits than its factorization.

137853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 137853 is about 371.2856043533. The cubic root of 137853 is about 51.6581371051.

It can be divided in two parts, 1378 and 53, that added together give a triangular number (1431 = T₅₃).

The spelling of 137853 in words is "one hundred thirty-seven thousand, eight hundred fifty-three".