138800356451442 has 128 divisors (see below), whose sum is σ = 355058693068800. Its totient is φ = 39370408665408.

The previous prime is 138800356451399. The next prime is 138800356451461. The reversal of 138800356451442 is 244154653008831.

138800356451442 is a `hidden beast` number, since 1 + 3 + 8 + 80 + 0 + 3 + 5 + 6 + 4 + 514 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2673994053 + ... + 2674045959.

It is an arithmetic number, because the mean of its divisors is an integer number (2773896039600).

Almost surely, 2^{138800356451442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138800356451442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177529346534400).

138800356451442 is an abundant number, since it is smaller than the sum of its proper divisors (216258336617358).

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

138800356451442 is a wasteful number, since it uses less digits than its factorization.

138800356451442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102957 (or 102951 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 138800356451442 in words is "one hundred thirty-eight trillion, eight hundred billion, three hundred fifty-six million, four hundred fifty-one thousand, four hundred forty-two".