134218323624 has 768 divisors, whose sum is σ = 479872512000. Its totient is φ = 30443212800.

The previous prime is 134218323599. The next prime is 134218323637. The reversal of 134218323624 is 426323812431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257616484 + ... + 257617004.

It is an arithmetic number, because the mean of its divisors is an integer number (624834000).

Almost surely, 2^134218323624 is an apocalyptic number.

134218323624 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 134218323624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239936256000).

134218323624 is an abundant number, since it is smaller than the sum of its proper divisors (345654188376).

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

134218323624 is a wasteful number, since it uses less digits than its factorization.

134218323624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 615 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 134218323624 in words is "one hundred thirty-four billion, two hundred eighteen million, three hundred twenty-three thousand, six hundred twenty-four".