138183797760 has 176 divisors, whose sum is σ = 449220733152. Its totient is φ = 36244684800.

The previous prime is 138183797737. The next prime is 138183797767. The reversal of 138183797760 is 67797381831.

138183797760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 138183797694 and 138183797703.

It is not an unprimeable number, because it can be changed into a prime (138183797767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863220 + ... + 1010700.

Almost surely, 2^138183797760 is an apocalyptic number.

138183797760 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 138183797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224610366576).

138183797760 is an abundant number, since it is smaller than the sum of its proper divisors (311036935392).

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

138183797760 is a wasteful number, since it uses less digits than its factorization.

138183797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147570 (or 147552 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 60.

The spelling of 138183797760 in words is "one hundred thirty-eight billion, one hundred eighty-three million, seven hundred ninety-seven thousand, seven hundred sixty".