137114424 has 64 divisors (see below), whose sum is σ = 384633600. Its totient is φ = 45253728.

The previous prime is 137114413. The next prime is 137114441. The reversal of 137114424 is 424411731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19167 + ... + 25329.

It is an arithmetic number, because the mean of its divisors is an integer number (6009900).

Almost surely, 2^137114424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192316800).

137114424 is an abundant number, since it is smaller than the sum of its proper divisors (247519176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137114424 is a wasteful number, since it uses less digits than its factorization.

137114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6271 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 137114424 is about 11709.5868415585. The cubic root of 137114424 is about 515.6571546229.

The spelling of 137114424 in words is "one hundred thirty-seven million, one hundred fourteen thousand, four hundred twenty-four".