138263166720 has 324 divisors, whose sum is σ = 556480655640. Its totient is φ = 31602880512.

The previous prime is 138263166689. The next prime is 138263166721. The reversal of 138263166720 is 27661362831.

138263166720 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 631 + 6 + 6 + 7 + 2 + 0 = 666.

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 (138263166721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 442011 + ... + 686949.

Almost surely, 2^138263166720 is an apocalyptic number.

138263166720 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 138263166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278240327820).

138263166720 is an abundant number, since it is smaller than the sum of its proper divisors (418217488920).

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

138263166720 is a wasteful number, since it uses less digits than its factorization.

138263166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244980 (or 244956 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 138263166720 in words is "one hundred thirty-eight billion, two hundred sixty-three million, one hundred sixty-six thousand, seven hundred twenty".