137552 has 10 divisors (see below), whose sum is σ = 266538. Its totient is φ = 68768.

The previous prime is 137537. The next prime is 137567. The reversal of 137552 is 255731.

137552 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (137537) and next prime (137567).

It can be written as a sum of positive squares in only one way, i.e., 126736 + 10816 = 356^2 + 104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4283 + ... + 4314.

2¹³⁷⁵⁵² is an apocalyptic number.

It is an amenable number.

137552 is a deficient number, since it is larger than the sum of its proper divisors (128986).

137552 is an equidigital number, since it uses as much as digits as its factorization.

137552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8605 (or 8599 counting only the distinct ones).

The product of its digits is 1050, while the sum is 23.

The square root of 137552 is about 370.8800345125. The cubic root of 137552 is about 51.6205114456.

The spelling of 137552 in words is "one hundred thirty-seven thousand, five hundred fifty-two".