137000031 has 32 divisors (see below), whose sum is σ = 220416000. Its totient is φ = 75569760.

The previous prime is 137000027. The next prime is 137000041. The reversal of 137000031 is 130000731.

137000031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137000031 - 2² = 137000027 is a prime.

It is a super-2 number, since 2×137000031² = 37538016988001922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27546 + ... + 32136.

It is an arithmetic number, because the mean of its divisors is an integer number (6888000).

Almost surely, 2^137000031 is an apocalyptic number.

137000031 is a deficient number, since it is larger than the sum of its proper divisors (83415969).

137000031 is an equidigital number, since it uses as much as digits as its factorization.

137000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4630 counting only the distinct ones).

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

The square root of 137000031 is about 11704.7012349739. The cubic root of 137000031 is about 515.5137124306.

Adding to 137000031 its reverse (130000731), we get a palindrome (267000762).

The spelling of 137000031 in words is "one hundred thirty-seven million, thirty-one", and thus it is an aban number.