137293168 has 20 divisors (see below), whose sum is σ = 266266440. Its totient is φ = 68579264.

The previous prime is 137293159. The next prime is 137293193. The reversal of 137293168 is 861392731.

137293168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×137293168³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137293168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15378 + ... + 22606.

It is an arithmetic number, because the mean of its divisors is an integer number (13313322).

Almost surely, 2^137293168 is an apocalyptic number.

It is an amenable number.

137293168 is a deficient number, since it is larger than the sum of its proper divisors (128973272).

137293168 is a wasteful number, since it uses less digits than its factorization.

137293168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8424 (or 8418 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 137293168 is about 11717.2167343614. The cubic root of 137293168 is about 515.8811295998.

The spelling of 137293168 in words is "one hundred thirty-seven million, two hundred ninety-three thousand, one hundred sixty-eight".