137152 has 14 divisors (see below), whose sum is σ = 272288. Its totient is φ = 68544.

The previous prime is 137147. The next prime is 137153. The reversal of 137152 is 251731.

It is a super-2 number, since 2×137152² = 37621342208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137153) by changing a digit.

137152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1008 + ... + 1135.

2¹³⁷¹⁵² is an apocalyptic number.

It is an amenable number.

137152 is a deficient number, since it is larger than the sum of its proper divisors (135136).

137152 is an equidigital number, since it uses as much as digits as its factorization.

137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2145 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 137152 is about 370.3403839713. The cubic root of 137152 is about 51.5704255341.

Adding to 137152 its reverse (251731), we get a palindrome (388883).

It can be divided in two parts, 137 and 152, that added together give a square (289 = 17²).

The spelling of 137152 in words is "one hundred thirty-seven thousand, one hundred fifty-two".