137281107 has 16 divisors (see below), whose sum is σ = 185317632. Its totient is φ = 90388320.

The previous prime is 137281097. The next prime is 137281153. The reversal of 137281107 is 701182731.

It is not a de Polignac number, because 137281107 - 2⁴ = 137281091 is a prime.

It is a super-2 number, since 2×137281107² = 37692204678290898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137282107) 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, 207357 + ... + 208017.

It is an arithmetic number, because the mean of its divisors is an integer number (11582352).

Almost surely, 2^137281107 is an apocalyptic number.

137281107 is a deficient number, since it is larger than the sum of its proper divisors (48036525).

137281107 is a wasteful number, since it uses less digits than its factorization.

137281107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418.

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 137281107 is about 11716.7020530523. The cubic root of 137281107 is about 515.8660226949.

The spelling of 137281107 in words is "one hundred thirty-seven million, two hundred eighty-one thousand, one hundred seven".