137806080 has 144 divisors (see below), whose sum is σ = 466228224. Its totient is φ = 34570240.

The previous prime is 137806079. The next prime is 137806121. The reversal of 137806080 is 80608731.

137806080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 64225 + ... + 66335.

It is an arithmetic number, because the mean of its divisors is an integer number (3237696).

Almost surely, 2^137806080 is an apocalyptic number.

137806080 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 137806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114112).

137806080 is an abundant number, since it is smaller than the sum of its proper divisors (328422144).

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

137806080 is a wasteful number, since it uses less digits than its factorization.

137806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 137806080 is about 11739.0834395195. The cubic root of 137806080 is about 516.5227560808.

The spelling of 137806080 in words is "one hundred thirty-seven million, eight hundred six thousand, eighty".