137252 has 6 divisors (see below), whose sum is σ = 240198. Its totient is φ = 68624.

The previous prime is 137251. The next prime is 137273. The reversal of 137252 is 252731.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 30976 = 326^2 + 176^2 .

It is a super-2 number, since 2×137252² = 37676223008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17153 + ... + 17160.

It is an arithmetic number, because the mean of its divisors is an integer number (40033).

2¹³⁷²⁵² is an apocalyptic number.

It is an amenable number.

137252 is a deficient number, since it is larger than the sum of its proper divisors (102946).

137252 is a wasteful number, since it uses less digits than its factorization.

137252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34317 (or 34315 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 137252 is about 370.4753703015. The cubic root of 137252 is about 51.5829561320.

Adding to 137252 its reverse (252731), we get a palindrome (389983).

The spelling of 137252 in words is "one hundred thirty-seven thousand, two hundred fifty-two".