138250319040 has 168 divisors, whose sum is σ = 480232657008. Its totient is φ = 36501657600.

The previous prime is 138250318967. The next prime is 138250319089. The reversal of 138250319040 is 40913052831.

138250319040 is a `hidden beast` number, since 1 + 382 + 50 + 3 + 190 + 40 = 666.

138250319040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138250319040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138250318986 and 138250319004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53239 + ... + 528521.

Almost surely, 2^138250319040 is an apocalyptic number.

138250319040 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 138250319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240116328504).

138250319040 is an abundant number, since it is smaller than the sum of its proper divisors (341982337968).

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

138250319040 is a wasteful number, since it uses less digits than its factorization.

138250319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475407 (or 475394 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 138250319040 in words is "one hundred thirty-eight billion, two hundred fifty million, three hundred nineteen thousand, forty".