137927153 has 24 divisors (see below), whose sum is σ = 176242176. Its totient is φ = 105580800.

The previous prime is 137927143. The next prime is 137927189. The reversal of 137927153 is 351729731.

It is not a de Polignac number, because 137927153 - 2⁶ = 137927089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137927143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34793 + ... + 38553.

It is an arithmetic number, because the mean of its divisors is an integer number (7343424).

Almost surely, 2^137927153 is an apocalyptic number.

137927153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137927153 is a deficient number, since it is larger than the sum of its proper divisors (38315023).

137927153 is a wasteful number, since it uses less digits than its factorization.

137927153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3812 counting only the distinct ones).

The product of its digits is 39690, while the sum is 38.

The square root of 137927153 is about 11744.2391409576. The cubic root of 137927153 is about 516.6739798248.

The spelling of 137927153 in words is "one hundred thirty-seven million, nine hundred twenty-seven thousand, one hundred fifty-three".