137107000 has 64 divisors (see below), whose sum is σ = 323144640. Its totient is φ = 54448000.

The previous prime is 137106971. The next prime is 137107039. The reversal of 137107000 is 701731.

It is a happy number.

137107000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 166590 + ... + 167410.

It is an arithmetic number, because the mean of its divisors is an integer number (5049135).

Almost surely, 2^137107000 is an apocalyptic number.

137107000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161572320).

137107000 is an abundant number, since it is smaller than the sum of its proper divisors (186037640).

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

137107000 is a wasteful number, since it uses less digits than its factorization.

137107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 137107000 is about 11709.2698320604. The cubic root of 137107000 is about 515.6478477785.

Adding to 137107000 its reverse (701731), we get a palindrome (137808731).

The spelling of 137107000 in words is "one hundred thirty-seven million, one hundred seven thousand".