138119262736 has 135 divisors (see below), whose sum is σ = 337415239143. Its totient is φ = 54587070720.

The previous prime is 138119262733. The next prime is 138119262761. The reversal of 138119262736 is 637262911831.

The square root of 138119262736 is 371644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12701290000 + 125417972736 = 112700^2 + 354144^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138119262736.

It is not an unprimeable number, because it can be changed into a prime (138119262733) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 135277906 + ... + 135278926.

Almost surely, 2^138119262736 is an apocalyptic number.

138119262736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138119262736 is the 371644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138119262736

138119262736 is an abundant number, since it is smaller than the sum of its proper divisors (199295976407).

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

138119262736 is an equidigital number, since it uses as much as digits as its factorization.

138119262736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1043 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

Multiplying 138119262736 by its sum of digits (49), we get a square (6767843874064 = 2601508²).

138119262736 divided by its sum of digits (49) gives a square (2818760464 = 53092²).

The spelling of 138119262736 in words is "one hundred thirty-eight billion, one hundred nineteen million, two hundred sixty-two thousand, seven hundred thirty-six".