137991168 has 352 divisors, whose sum is σ = 503070720. Its totient is φ = 36495360.

The previous prime is 137991163. The next prime is 137991179. The reversal of 137991168 is 861199731.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137991163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4451313 + ... + 4451343.

Almost surely, 2^137991168 is an apocalyptic number.

137991168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251535360).

137991168 is an abundant number, since it is smaller than the sum of its proper divisors (365079552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137991168 is a wasteful number, since it uses less digits than its factorization.

137991168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 137991168 is about 11746.9642035719. The cubic root of 137991168 is about 516.7539006828.

The spelling of 137991168 in words is "one hundred thirty-seven million, nine hundred ninety-one thousand, one hundred sixty-eight".