138849042780 has 768 divisors, whose sum is σ = 527656550400. Its totient is φ = 29647088640.

The previous prime is 138849042757. The next prime is 138849042797. The reversal of 138849042780 is 87240948831.

It is a happy number.

138849042780 is a `hidden beast` number, since 1 + 3 + 88 + 490 + 4 + 2 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 490632519 + ... + 490632801.

It is an arithmetic number, because the mean of its divisors is an integer number (687052800).

Almost surely, 2^138849042780 is an apocalyptic number.

138849042780 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 138849042780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263828275200).

138849042780 is an abundant number, since it is smaller than the sum of its proper divisors (388807507620).

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

138849042780 is a wasteful number, since it uses less digits than its factorization.

138849042780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 138849042780 in words is "one hundred thirty-eight billion, eight hundred forty-nine million, forty-two thousand, seven hundred eighty".