137221344 has 192 divisors, whose sum is σ = 454406400. Its totient is φ = 39937536.

The previous prime is 137221319. The next prime is 137221361. The reversal of 137221344 is 443122731.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213087 + ... + 213729.

It is an arithmetic number, because the mean of its divisors is an integer number (2366700).

Almost surely, 2^137221344 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 137221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227203200).

137221344 is an abundant number, since it is smaller than the sum of its proper divisors (317185056).

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

137221344 is a wasteful number, since it uses less digits than its factorization.

137221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 137221344 is about 11714.1514417392. The cubic root of 137221344 is about 515.7911539903.

The spelling of 137221344 in words is "one hundred thirty-seven million, two hundred twenty-one thousand, three hundred forty-four".