134684424000 has 896 divisors, whose sum is σ = 568531491840. Its totient is φ = 30578688000.

The previous prime is 134684423999. The next prime is 134684424011. The reversal of 134684424000 is 424486431.

134684424000 is a `hidden beast` number, since 134 + 6 + 84 + 42 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 424871842 + ... + 424872158.

Almost surely, 2^134684424000 is an apocalyptic number.

134684424000 is a gapful number since it is divisible by the number (10) 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 134684424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284265745920).

134684424000 is an abundant number, since it is smaller than the sum of its proper divisors (433847067840).

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

134684424000 is a wasteful number, since it uses less digits than its factorization.

134684424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 134684424000 in words is "one hundred thirty-four billion, six hundred eighty-four million, four hundred twenty-four thousand".