134642246112 has 240 divisors, whose sum is σ = 439304342400. Its totient is φ = 40108642560.

The previous prime is 134642246107. The next prime is 134642246113. The reversal of 134642246112 is 211642246431.

134642246112 is a `hidden beast` number, since 1 + 3 + 4 + 642 + 2 + 4 + 6 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134642246113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1642189 + ... + 1722227.

It is an arithmetic number, because the mean of its divisors is an integer number (1830434760).

Almost surely, 2^134642246112 is an apocalyptic number.

134642246112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134642246112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219652171200).

134642246112 is an abundant number, since it is smaller than the sum of its proper divisors (304662096288).

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

134642246112 is a wasteful number, since it uses less digits than its factorization.

134642246112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80131 (or 80114 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 134642246112 in words is "one hundred thirty-four billion, six hundred forty-two million, two hundred forty-six thousand, one hundred twelve".