138710197059840 has 1800 divisors, whose sum is σ = 609513140396160. Its totient is φ = 30035469606912.

The previous prime is 138710197059809. The next prime is 138710197059869. The reversal of 138710197059840 is 48950791017831.

138710197059840 is a `hidden beast` number, since 1 + 38 + 7 + 1 + 0 + 1 + 9 + 7 + 0 + 598 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 4729763257 + ... + 4729792583.

Almost surely, 2^{138710197059840} is an apocalyptic number.

138710197059840 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 138710197059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304756570198080).

138710197059840 is an abundant number, since it is smaller than the sum of its proper divisors (470802943336320).

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

138710197059840 is an frugal number, since it uses more digits than its factorization.

138710197059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29407 (or 29363 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 138710197059840 in words is "one hundred thirty-eight trillion, seven hundred ten billion, one hundred ninety-seven million, fifty-nine thousand, eight hundred forty".