137000311 has 16 divisors (see below), whose sum is σ = 160892928. Its totient is φ = 114206400.

The previous prime is 137000291. The next prime is 137000323. The reversal of 137000311 is 113000731.

It is a happy number.

It is not a de Polignac number, because 137000311 - 2²¹ = 134903159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137003311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132366 + ... + 133396.

It is an arithmetic number, because the mean of its divisors is an integer number (10055808).

Almost surely, 2^137000311 is an apocalyptic number.

137000311 is a deficient number, since it is larger than the sum of its proper divisors (23892617).

137000311 is a wasteful number, since it uses less digits than its factorization.

137000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 137000311 is about 11704.7131959737. The cubic root of 137000311 is about 515.5140636318.

The spelling of 137000311 in words is "one hundred thirty-seven million, three hundred eleven", and thus it is an aban number.