138075865920 has 784 divisors, whose sum is σ = 536638884048. Its totient is φ = 33681899520.

The previous prime is 138075865897. The next prime is 138075865931. The reversal of 138075865920 is 29568570831.

138075865920 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 7 + 586 + 59 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17589125376 + 120486740544 = 132624^2 + 347112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 146732650 + ... + 146733590.

Almost surely, 2^138075865920 is an apocalyptic number.

138075865920 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 138075865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268319442024).

138075865920 is an abundant number, since it is smaller than the sum of its proper divisors (398563018128).

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

138075865920 is an equidigital number, since it uses as much as digits as its factorization.

138075865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 138075865920 in words is "one hundred thirty-eight billion, seventy-five million, eight hundred sixty-five thousand, nine hundred twenty".