137705388 has 48 divisors (see below), whose sum is σ = 346496640. Its totient is φ = 42422400.

The previous prime is 137705387. The next prime is 137705411. The reversal of 137705388 is 883507731.

137705388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137705387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983 + ... + 16713.

It is an arithmetic number, because the mean of its divisors is an integer number (7218680).

Almost surely, 2^137705388 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 137705388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173248320).

137705388 is an abundant number, since it is smaller than the sum of its proper divisors (208791252).

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

137705388 is a wasteful number, since it uses less digits than its factorization.

137705388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798 (or 14796 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 137705388 is about 11734.7939053057. The cubic root of 137705388 is about 516.3969213281.

The spelling of 137705388 in words is "one hundred thirty-seven million, seven hundred five thousand, three hundred eighty-eight".