137665680 has 80 divisors (see below), whose sum is σ = 430984320. Its totient is φ = 36347904.

The previous prime is 137665669. The next prime is 137665691. The reversal of 137665680 is 86566731.

It is an interprime number because it is at equal distance from previous prime (137665669) and next prime (137665691).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21936 + ... + 27504.

It is an arithmetic number, because the mean of its divisors is an integer number (5387304).

Almost surely, 2^137665680 is an apocalyptic number.

137665680 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 137665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215492160).

137665680 is an abundant number, since it is smaller than the sum of its proper divisors (293318640).

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

137665680 is a wasteful number, since it uses less digits than its factorization.

137665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 137665680 is about 11733.1018916568. The cubic root of 137665680 is about 516.3472813915.

The spelling of 137665680 in words is "one hundred thirty-seven million, six hundred sixty-five thousand, six hundred eighty".