134431363584 has 360 divisors, whose sum is σ = 468058198608. Its totient is φ = 38407219200.

The previous prime is 134431363579. The next prime is 134431363637. The reversal of 134431363584 is 485363134431.

134431363584 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 1 + 3 + 63 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6085359 + ... + 6107409.

Almost surely, 2^134431363584 is an apocalyptic number.

134431363584 is a gapful number since it is divisible by the number (14) 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 134431363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234029099304).

134431363584 is an abundant number, since it is smaller than the sum of its proper divisors (333626835024).

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

134431363584 is an frugal number, since it uses more digits than its factorization.

134431363584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22098 (or 22063 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 134431363584 in words is "one hundred thirty-four billion, four hundred thirty-one million, three hundred sixty-three thousand, five hundred eighty-four".