138370265280 has 896 divisors, whose sum is σ = 542501084160. Its totient is φ = 33404203008.

The previous prime is 138370265227. The next prime is 138370265287. The reversal of 138370265280 is 82562073831.

138370265280 is a `hidden beast` number, since 1 + 38 + 3 + 70 + 26 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138370265287) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 609560527 + ... + 609560753.

It is an arithmetic number, because the mean of its divisors is an integer number (605469960).

Almost surely, 2^138370265280 is an apocalyptic number.

138370265280 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 138370265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271250542080).

138370265280 is an abundant number, since it is smaller than the sum of its proper divisors (404130818880).

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

138370265280 is an equidigital number, since it uses as much as digits as its factorization.

138370265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 138370265280 in words is "one hundred thirty-eight billion, three hundred seventy million, two hundred sixty-five thousand, two hundred eighty".