138082268160 has 440 divisors, whose sum is σ = 501696953736. Its totient is φ = 36309565440.

The previous prime is 138082268131. The next prime is 138082268213. The reversal of 138082268160 is 61862280831.

138082268160 is a `hidden beast` number, since 1 + 380 + 8 + 2 + 268 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9929723904 + 128152544256 = 99648^2 + 357984^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30272280 + ... + 30276840.

Almost surely, 2^138082268160 is an apocalyptic number.

138082268160 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 138082268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250848476868).

138082268160 is an abundant number, since it is smaller than the sum of its proper divisors (363614685576).

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

138082268160 is an equidigital number, since it uses as much as digits as its factorization.

138082268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 138082268160 in words is "one hundred thirty-eight billion, eighty-two million, two hundred sixty-eight thousand, one hundred sixty".