137000838 has 32 divisors (see below), whose sum is σ = 301948416. Its totient is φ = 41172768.

The previous prime is 137000837. The next prime is 137000839. The reversal of 137000838 is 838000731.

It is an interprime number because it is at equal distance from previous prime (137000837) and next prime (137000839).

It is a super-2 number, since 2×137000838² = 37538459225404488, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137000837) 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, 17070 + ... + 23777.

It is an arithmetic number, because the mean of its divisors is an integer number (9435888).

Almost surely, 2^137000838 is an apocalyptic number.

137000838 is an abundant number, since it is smaller than the sum of its proper divisors (164947578).

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

137000838 is a wasteful number, since it uses less digits than its factorization.

137000838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40908.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 137000838 is about 11704.7357082507. The cubic root of 137000838 is about 515.5147246414.

The spelling of 137000838 in words is "one hundred thirty-seven million, eight hundred thirty-eight", and thus it is an aban number.