137381790 has 192 divisors, whose sum is σ = 421632000. Its totient is φ = 28619136.

The previous prime is 137381789. The next prime is 137381813. The reversal of 137381790 is 97183731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738971 + ... + 1739049.

It is an arithmetic number, because the mean of its divisors is an integer number (2196000).

Almost surely, 2^137381790 is an apocalyptic number.

137381790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137381790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210816000).

137381790 is an abundant number, since it is smaller than the sum of its proper divisors (284250210).

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

137381790 is a wasteful number, since it uses less digits than its factorization.

137381790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 137381790 is about 11720.9978244175. The cubic root of 137381790 is about 515.9921052214.

The spelling of 137381790 in words is "one hundred thirty-seven million, three hundred eighty-one thousand, seven hundred ninety".