137601390 has 32 divisors (see below), whose sum is σ = 333520416. Its totient is φ = 36329600.

The previous prime is 137601377. The next prime is 137601397. The reversal of 137601390 is 93106731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137601397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19677 + ... + 25736.

It is an arithmetic number, because the mean of its divisors is an integer number (10422513).

Almost surely, 2^137601390 is an apocalyptic number.

137601390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137601390 is an abundant number, since it is smaller than the sum of its proper divisors (195919026).

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

137601390 is a wasteful number, since it uses less digits than its factorization.

137601390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45524.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 137601390 is about 11730.3618870008. The cubic root of 137601390 is about 516.2668906566.

The spelling of 137601390 in words is "one hundred thirty-seven million, six hundred one thousand, three hundred ninety".