137852 has 24 divisors (see below), whose sum is σ = 284592. Its totient is φ = 57600.

The previous prime is 137849. The next prime is 137867. The reversal of 137852 is 258731.

137852 is nontrivially palindromic in base 15.

137852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×137852⁴ (a number of 22 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 1 + 3⁹ + 8³ + 7⁶ + 5 + 2 .

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, 452 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (11858).

2¹³⁷⁸⁵² is an apocalyptic number.

It is an amenable number.

137852 is an abundant number, since it is smaller than the sum of its proper divisors (146740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137852 is a wasteful number, since it uses less digits than its factorization.

137852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 137852 is about 371.2842576787. The cubic root of 137852 is about 51.6580121936.

It can be divided in two parts, 137 and 852, that added together give a palindrome (989).

The spelling of 137852 in words is "one hundred thirty-seven thousand, eight hundred fifty-two".