138305100780 has 240 divisors, whose sum is σ = 540927104256. Its totient is φ = 28738696320.

The previous prime is 138305100767. The next prime is 138305100823. The reversal of 138305100780 is 87001503831.

138305100780 is a `hidden beast` number, since 1 + 38 + 30 + 510 + 0 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 429634 + ... + 679113.

Almost surely, 2^138305100780 is an apocalyptic number.

138305100780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138305100780 is an abundant number, since it is smaller than the sum of its proper divisors (402622003476).

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

138305100780 is a wasteful number, since it uses less digits than its factorization.

138305100780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108786 (or 1108775 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 138305100780 in words is "one hundred thirty-eight billion, three hundred five million, one hundred thousand, seven hundred eighty".