138567317850 has 288 divisors, whose sum is σ = 408828302064. Its totient is φ = 33443020800.

The previous prime is 138567317803. The next prime is 138567317879. The reversal of 138567317850 is 58713765831.

138567317850 is a `hidden beast` number, since 1 + 3 + 8 + 567 + 3 + 1 + 78 + 5 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 47398950369 + 91168367481 = 217713^2 + 301941^2 .

It is a super-2 number, since 2×138567317850² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64120770 + ... + 64122930.

Almost surely, 2^138567317850 is an apocalyptic number.

138567317850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138567317850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204414151032).

138567317850 is an abundant number, since it is smaller than the sum of its proper divisors (270260984214).

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

138567317850 is a wasteful number, since it uses less digits than its factorization.

138567317850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 138567317850 in words is "one hundred thirty-eight billion, five hundred sixty-seven million, three hundred seventeen thousand, eight hundred fifty".