134263868239872 has 416 divisors, whose sum is σ = 454664822284800. Its totient is φ = 38355183009792.

The previous prime is 134263868239849. The next prime is 134263868239927. The reversal of 134263868239872 is 278932868362431.

134263868239872 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 6 + 386 + 8 + 239 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 134263868239872.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8499319078 + ... + 8499334874.

Almost surely, 2^{134263868239872} is an apocalyptic number.

134263868239872 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 134263868239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227332411142400).

134263868239872 is an abundant number, since it is smaller than the sum of its proper divisors (320400954044928).

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

134263868239872 is a wasteful number, since it uses less digits than its factorization.

134263868239872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26816 (or 26788 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 134263868239872 in words is "one hundred thirty-four trillion, two hundred sixty-three billion, eight hundred sixty-eight million, two hundred thirty-nine thousand, eight hundred seventy-two".