126084966138 has 96 divisors (see below), whose sum is σ = 300252925440. Its totient is φ = 38079521280.

The previous prime is 126084966113. The next prime is 126084966149. The reversal of 126084966138 is 831669480621.

126084966138 is a `hidden beast` number, since 1 + 2 + 60 + 8 + 496 + 61 + 38 = 666.

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, 805443 + ... + 949161.

It is an arithmetic number, because the mean of its divisors is an integer number (3127634640).

Almost surely, 2^126084966138 is an apocalyptic number.

126084966138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126084966138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150126462720).

126084966138 is an abundant number, since it is smaller than the sum of its proper divisors (174167959302).

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

126084966138 is a wasteful number, since it uses less digits than its factorization.

126084966138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143852 (or 143849 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 126084966138 in words is "one hundred twenty-six billion, eighty-four million, nine hundred sixty-six thousand, one hundred thirty-eight".