138894044130 has 96 divisors (see below), whose sum is σ = 382545212400. Its totient is φ = 34843447296.

The previous prime is 138894044117. The next prime is 138894044141. The reversal of 138894044130 is 31440498831.

138894044130 is a `hidden beast` number, since 1 + 38 + 89 + 404 + 4 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 92065516929 + 46828527201 = 303423^2 + 216399^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3451566 + ... + 3491574.

Almost surely, 2^138894044130 is an apocalyptic number.

138894044130 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 138894044130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191272606200).

138894044130 is an abundant number, since it is smaller than the sum of its proper divisors (243651168270).

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

138894044130 is a wasteful number, since it uses less digits than its factorization.

138894044130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42308 (or 42305 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 138894044130 in words is "one hundred thirty-eight billion, eight hundred ninety-four million, forty-four thousand, one hundred thirty".