137628657280 has 128 divisors (see below), whose sum is σ = 338191310160. Its totient is φ = 53519155200.

The previous prime is 137628657263. The next prime is 137628657319. The reversal of 137628657280 is 82756826731.

It can be written as a sum of positive squares in 8 ways, for example, as 14382725184 + 123245932096 = 119928^2 + 351064^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56380860 + ... + 56383300.

Almost surely, 2^137628657280 is an apocalyptic number.

137628657280 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 137628657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169095655080).

137628657280 is an abundant number, since it is smaller than the sum of its proper divisors (200562652880).

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

137628657280 is a wasteful number, since it uses less digits than its factorization.

137628657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 137628657280 in words is "one hundred thirty-seven billion, six hundred twenty-eight million, six hundred fifty-seven thousand, two hundred eighty".