138119040 has 128 divisors (see below), whose sum is σ = 489232800. Its totient is φ = 36827136.

The previous prime is 138119029. The next prime is 138119057. The reversal of 138119040 is 40911831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 138118995 and 138119013.

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 15 ways as a sum of consecutive naturals, for example, 13284 + ... + 21276.

Almost surely, 2^138119040 is an apocalyptic number.

138119040 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 138119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244616400).

138119040 is an abundant number, since it is smaller than the sum of its proper divisors (351113760).

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

138119040 is an equidigital number, since it uses as much as digits as its factorization.

138119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 138119040 is about 11752.4057111725. The cubic root of 138119040 is about 516.9134711716.

The spelling of 138119040 in words is "one hundred thirty-eight million, one hundred nineteen thousand, forty".