137075873 has 16 divisors (see below), whose sum is σ = 153964800. Its totient is φ = 120961680.

The previous prime is 137075867. The next prime is 137075891. The reversal of 137075873 is 378570731.

It is a cyclic number.

It is not a de Polignac number, because 137075873 - 2⁴ = 137075857 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137075873.

It is not an unprimeable number, because it can be changed into a prime (137075803) 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, 83858 + ... + 85476.

It is an arithmetic number, because the mean of its divisors is an integer number (9622800).

Almost surely, 2^137075873 is an apocalyptic number.

It is an amenable number.

137075873 is a deficient number, since it is larger than the sum of its proper divisors (16888927).

137075873 is a wasteful number, since it uses less digits than its factorization.

137075873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852.

The product of its (nonzero) digits is 123480, while the sum is 41.

The square root of 137075873 is about 11707.9405960229. The cubic root of 137075873 is about 515.6088228191.

The spelling of 137075873 in words is "one hundred thirty-seven million, seventy-five thousand, eight hundred seventy-three".