137668680 has 128 divisors (see below), whose sum is σ = 483120000. Its totient is φ = 34774272.

The previous prime is 137668679. The next prime is 137668681. The reversal of 137668680 is 86866731.

It is an interprime number because it is at equal distance from previous prime (137668679) and next prime (137668681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137668681) 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, 17166 + ... + 23874.

It is an arithmetic number, because the mean of its divisors is an integer number (3774375).

Almost surely, 2^137668680 is an apocalyptic number.

137668680 is a gapful number since it is divisible by the number (10) 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 137668680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241560000).

137668680 is an abundant number, since it is smaller than the sum of its proper divisors (345451320).

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

137668680 is a wasteful number, since it uses less digits than its factorization.

137668680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 137668680 is about 11733.2297343911. The cubic root of 137668680 is about 516.3510320978.

The spelling of 137668680 in words is "one hundred thirty-seven million, six hundred sixty-eight thousand, six hundred eighty".