137916680 has 64 divisors (see below), whose sum is σ = 339958080. Its totient is φ = 49939200.

The previous prime is 137916677. The next prime is 137916697. The reversal of 137916680 is 86619731.

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, 134570 + ... + 135590.

It is an arithmetic number, because the mean of its divisors is an integer number (5311845).

Almost surely, 2^137916680 is an apocalyptic number.

137916680 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 137916680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169979040).

137916680 is an abundant number, since it is smaller than the sum of its proper divisors (202041400).

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

137916680 is a wasteful number, since it uses less digits than its factorization.

137916680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 137916680 is about 11743.7932543110. The cubic root of 137916680 is about 516.6609022365.

The spelling of 137916680 in words is "one hundred thirty-seven million, nine hundred sixteen thousand, six hundred eighty".