138019842675 has 720 divisors, whose sum is σ = 338725382688. Its totient is φ = 54560563200.

The previous prime is 138019842671. The next prime is 138019842679. The reversal of 138019842675 is 576248910831.

138019842675 is a `hidden beast` number, since 1 + 380 + 198 + 4 + 2 + 6 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (138019842671) and next prime (138019842679).

It is not a de Polignac number, because 138019842675 - 2² = 138019842671 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138019842671) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 2604147949 + ... + 2604148001.

It is a 1-persistent number, because it is pandigital, but 2⋅138019842675 = 276039685350 is not.

Almost surely, 2^138019842675 is an apocalyptic number.

138019842675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138019842675 is an abundant number, since it is smaller than the sum of its proper divisors (200705540013).

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

138019842675 is a wasteful number, since it uses less digits than its factorization.

138019842675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 138019842675 in words is "one hundred thirty-eight billion, nineteen million, eight hundred forty-two thousand, six hundred seventy-five".