137514153 has 32 divisors (see below), whose sum is σ = 222704640. Its totient is φ = 73725120.

The previous prime is 137514137. The next prime is 137514187. The reversal of 137514153 is 351415731.

It is not a de Polignac number, because 137514153 - 2⁴ = 137514137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137514153.

It is not an unprimeable number, because it can be changed into a prime (137514193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41083 + ... + 44303.

It is an arithmetic number, because the mean of its divisors is an integer number (6959520).

Almost surely, 2^137514153 is an apocalyptic number.

It is an amenable number.

137514153 is a deficient number, since it is larger than the sum of its proper divisors (85190487).

137514153 is a wasteful number, since it uses less digits than its factorization.

137514153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357.

The product of its digits is 6300, while the sum is 30.

The square root of 137514153 is about 11726.6428699777. The cubic root of 137514153 is about 516.1577660424.

Adding to 137514153 its reverse (351415731), we get a palindrome (488929884).

The spelling of 137514153 in words is "one hundred thirty-seven million, five hundred fourteen thousand, one hundred fifty-three".