120434082138 has 96 divisors (see below), whose sum is σ = 282704048640. Its totient is φ = 36936012960.

The previous prime is 120434082127. The next prime is 120434082161. The reversal of 120434082138 is 831280434021.

It is a happy number.

120434082138 is a `hidden beast` number, since 1 + 2 + 0 + 434 + 0 + 8 + 213 + 8 = 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, 1589881 + ... + 1663907.

It is an arithmetic number, because the mean of its divisors is an integer number (2944833840).

Almost surely, 2^120434082138 is an apocalyptic number.

120434082138 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 120434082138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141352024320).

120434082138 is an abundant number, since it is smaller than the sum of its proper divisors (162269966502).

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

120434082138 is a wasteful number, since it uses less digits than its factorization.

120434082138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74192 (or 74189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 120434082138 in words is "one hundred twenty billion, four hundred thirty-four million, eighty-two thousand, one hundred thirty-eight".