137721168 has 160 divisors (see below), whose sum is σ = 431222400. Its totient is φ = 41831424.

The previous prime is 137721167. The next prime is 137721193. The reversal of 137721168 is 861127731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137721167) 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, 769303 + ... + 769481.

It is an arithmetic number, because the mean of its divisors is an integer number (2695140).

Almost surely, 2^137721168 is an apocalyptic number.

137721168 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 137721168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215611200).

137721168 is an abundant number, since it is smaller than the sum of its proper divisors (293501232).

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

137721168 is a wasteful number, since it uses less digits than its factorization.

137721168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 137721168 is about 11735.4662455311. The cubic root of 137721168 is about 516.4166456403.

Adding to 137721168 its reverse (861127731), we get a palindrome (998848899).

The spelling of 137721168 in words is "one hundred thirty-seven million, seven hundred twenty-one thousand, one hundred sixty-eight".