138045041442 has 192 divisors, whose sum is σ = 383786118144. Its totient is φ = 34813307520.

The previous prime is 138045041413. The next prime is 138045041461. The reversal of 138045041442 is 244140540831.

138045041442 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 4 + 504 + 144 + 2 = 666.

138045041442 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138045041397 and 138045041406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26817913 + ... + 26823059.

It is an arithmetic number, because the mean of its divisors is an integer number (1998886032).

Almost surely, 2^138045041442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138045041442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191893059072).

138045041442 is an abundant number, since it is smaller than the sum of its proper divisors (245741076702).

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

138045041442 is a wasteful number, since it uses less digits than its factorization.

138045041442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 138045041442 in words is "one hundred thirty-eight billion, forty-five million, forty-one thousand, four hundred forty-two".