137031000 has 64 divisors (see below), whose sum is σ = 427546080. Its totient is φ = 36540800.

The previous prime is 137030969. The next prime is 137031007. The reversal of 137031000 is 130731.

137031000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137031000² = 37554989922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137031007) 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, 19839 + ... + 25838.

Almost surely, 2^137031000 is an apocalyptic number.

137031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137031000 is an abundant number, since it is smaller than the sum of its proper divisors (290515080).

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

137031000 is a wasteful number, since it uses less digits than its factorization.

137031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45701 (or 45687 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 137031000 is about 11706.0240901854. The cubic root of 137031000 is about 515.5525536416.

Adding to 137031000 its reverse (130731), we get a palindrome (137161731).

The spelling of 137031000 in words is "one hundred thirty-seven million, thirty-one thousand".