134263295712 has 480 divisors, whose sum is σ = 511582579200. Its totient is φ = 33545290752.

The previous prime is 134263295687. The next prime is 134263295713. The reversal of 134263295712 is 217592362431.

It is a happy number.

134263295712 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 632 + 9 + 5 + 7 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134263295713) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4466589 + ... + 4496547.

It is an arithmetic number, because the mean of its divisors is an integer number (1065797040).

Almost surely, 2^134263295712 is an apocalyptic number.

134263295712 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 134263295712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255791289600).

134263295712 is an abundant number, since it is smaller than the sum of its proper divisors (377319283488).

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

134263295712 is a wasteful number, since it uses less digits than its factorization.

134263295712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30020 (or 30003 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 134263295712 in words is "one hundred thirty-four billion, two hundred sixty-three million, two hundred ninety-five thousand, seven hundred twelve".