137980780 has 96 divisors (see below), whose sum is σ = 341978112. Its totient is φ = 45792000.

The previous prime is 137980769. The next prime is 137980781. The reversal of 137980780 is 87089731.

137980780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137980781) 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, 913705 + ... + 913855.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^137980780 is an apocalyptic number.

137980780 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 137980780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

137980780 is an abundant number, since it is smaller than the sum of its proper divisors (203997332).

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

137980780 is a wasteful number, since it uses less digits than its factorization.

137980780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 137980780 is about 11746.5220384589. The cubic root of 137980780 is about 516.7409332484.

The spelling of 137980780 in words is "one hundred thirty-seven million, nine hundred eighty thousand, seven hundred eighty".