137330688 has 128 divisors (see below), whose sum is σ = 402647040. Its totient is φ = 41287680.

The previous prime is 137330681. The next prime is 137330693. The reversal of 137330688 is 886033731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137330681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081281 + ... + 1081407.

It is an arithmetic number, because the mean of its divisors is an integer number (3145680).

Almost surely, 2^137330688 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 137330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201323520).

137330688 is an abundant number, since it is smaller than the sum of its proper divisors (265316352).

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

137330688 is an equidigital number, since it uses as much as digits as its factorization.

137330688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 137330688 is about 11718.8176878045. The cubic root of 137330688 is about 515.9281193064.

The spelling of 137330688 in words is "one hundred thirty-seven million, three hundred thirty thousand, six hundred eighty-eight".