137843328 has 128 divisors (see below), whose sum is σ = 440640000. Its totient is φ = 37297152.

The previous prime is 137843311. The next prime is 137843333. The reversal of 137843328 is 823348731.

137843328 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49723 + ... + 52421.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2^137843328 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 137843328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

137843328 is an abundant number, since it is smaller than the sum of its proper divisors (302796672).

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

137843328 is a wasteful number, since it uses less digits than its factorization.

137843328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2730 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 137843328 is about 11740.6698275695. The cubic root of 137843328 is about 516.5692893601.

The spelling of 137843328 in words is "one hundred thirty-seven million, eight hundred forty-three thousand, three hundred twenty-eight".