137301117 has 24 divisors (see below), whose sum is σ = 190586592. Its totient is φ = 87912000.

The previous prime is 137301103. The next prime is 137301119. The reversal of 137301117 is 711103731.

137301117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137301117 - 2²⁰ = 136252541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137301119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414642 + ... + 414972.

It is an arithmetic number, because the mean of its divisors is an integer number (7941108).

Almost surely, 2^137301117 is an apocalyptic number.

It is an amenable number.

137301117 is a deficient number, since it is larger than the sum of its proper divisors (53285475).

137301117 is a wasteful number, since it uses less digits than its factorization.

137301117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 137301117 is about 11717.5559311659. Note that the first 3 decimals coincide. The cubic root of 137301117 is about 515.8910855697.

Adding to 137301117 its reverse (711103731), we get a palindrome (848404848).

The spelling of 137301117 in words is "one hundred thirty-seven million, three hundred one thousand, one hundred seventeen".