138756119040 has 1920 divisors, whose sum is σ = 656940810240. Its totient is φ = 26940211200.

The previous prime is 138756118981. The next prime is 138756119053. The reversal of 138756119040 is 40911657831.

138756119040 is a `hidden beast` number, since 1 + 3 + 87 + 561 + 1 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4476003825 + ... + 4476003855.

It is an arithmetic number, because the mean of its divisors is an integer number (342156672).

Almost surely, 2^138756119040 is an apocalyptic number.

138756119040 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 138756119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328470405120).

138756119040 is an abundant number, since it is smaller than the sum of its proper divisors (518184691200).

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

138756119040 is a wasteful number, since it uses less digits than its factorization.

138756119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 138756119040 in words is "one hundred thirty-eight billion, seven hundred fifty-six million, one hundred nineteen thousand, forty".