137953105 has 8 divisors (see below), whose sum is σ = 165694464. Its totient is φ = 110262000.

The previous prime is 137953097. The next prime is 137953111. The reversal of 137953105 is 501359731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137953105 - 2³ = 137953097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6231 + ... + 17740.

It is an arithmetic number, because the mean of its divisors is an integer number (20711808).

Almost surely, 2^137953105 is an apocalyptic number.

It is an amenable number.

137953105 is a deficient number, since it is larger than the sum of its proper divisors (27741359).

137953105 is a wasteful number, since it uses less digits than its factorization.

137953105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25127.

The product of its (nonzero) digits is 14175, while the sum is 34.

The square root of 137953105 is about 11745.3439711232. The cubic root of 137953105 is about 516.7063831187.

It can be divided in two parts, 13795 and 3105, that added together give a square (16900 = 130²).

The spelling of 137953105 in words is "one hundred thirty-seven million, nine hundred fifty-three thousand, one hundred five".