137281920 has 128 divisors (see below), whose sum is σ = 441815040. Its totient is φ = 36255744.

The previous prime is 137281913. The next prime is 137281961. The reversal of 137281920 is 29182731.

137281920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 243559 + ... + 244121.

It is an arithmetic number, because the mean of its divisors is an integer number (3451680).

Almost surely, 2^137281920 is an apocalyptic number.

137281920 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 137281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220907520).

137281920 is an abundant number, since it is smaller than the sum of its proper divisors (304533120).

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

137281920 is a wasteful number, since it uses less digits than its factorization.

137281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 137281920 is about 11716.7367470640. The cubic root of 137281920 is about 515.8670410390.

The spelling of 137281920 in words is "one hundred thirty-seven million, two hundred eighty-one thousand, nine hundred twenty".