137914224 has 120 divisors (see below), whose sum is σ = 417973248. Its totient is φ = 39070080.

The previous prime is 137914223. The next prime is 137914237. The reversal of 137914224 is 422419731.

137914224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137914223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449079 + ... + 449385.

Almost surely, 2^137914224 is an apocalyptic number.

137914224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137914224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208986624).

137914224 is an abundant number, since it is smaller than the sum of its proper divisors (280059024).

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

137914224 is a wasteful number, since it uses less digits than its factorization.

137914224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 137914224 is about 11743.6886879719. The cubic root of 137914224 is about 516.6578353445.

The spelling of 137914224 in words is "one hundred thirty-seven million, nine hundred fourteen thousand, two hundred twenty-four".