137664880 has 120 divisors (see below), whose sum is σ = 352633680. Its totient is φ = 49812480.

The previous prime is 137664871. The next prime is 137664881. The reversal of 137664880 is 88466731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137664881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2929017 + ... + 2929063.

It is an arithmetic number, because the mean of its divisors is an integer number (2938614).

Almost surely, 2^137664880 is an apocalyptic number.

137664880 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 137664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176316840).

137664880 is an abundant number, since it is smaller than the sum of its proper divisors (214968800).

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

137664880 is a wasteful number, since it uses less digits than its factorization.

137664880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 137664880 is about 11733.0678000257. The cubic root of 137664880 is about 516.3462811940.

The spelling of 137664880 in words is "one hundred thirty-seven million, six hundred sixty-four thousand, eight hundred eighty".