138796540020 has 36 divisors (see below), whose sum is σ = 421016171940. Its totient is φ = 37012410624.

The previous prime is 138796540019. The next prime is 138796540027. The reversal of 138796540020 is 20045697831.

138796540020 is a `hidden beast` number, since 1 + 3 + 87 + 9 + 6 + 540 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73075064976 + 65721475044 = 270324^2 + 256362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138796540027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385545765 + ... + 385546124.

It is an arithmetic number, because the mean of its divisors is an integer number (11694893665).

It is a 1-persistent number, because it is pandigital, but 2⋅138796540020 = 277593080040 is not.

Almost surely, 2^138796540020 is an apocalyptic number.

138796540020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138796540020 is an abundant number, since it is smaller than the sum of its proper divisors (282219631920).

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

138796540020 is a wasteful number, since it uses less digits than its factorization.

138796540020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771091904 (or 771091899 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 138796540020 in words is "one hundred thirty-eight billion, seven hundred ninety-six million, five hundred forty thousand, twenty".