134363829834000 has 1600 divisors, whose sum is σ = 532018844989632. Its totient is φ = 32487505920000.

The previous prime is 134363829833941. The next prime is 134363829834037. The reversal of 134363829834000 is 438928363431.

134363829834000 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 6 + 3 + 8 + 298 + 340 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 134127528846336 + 236300987664 = 11581344^2 + 486108^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27986631600 + ... + 27986636400.

Almost surely, 2^{134363829834000} is an apocalyptic number.

134363829834000 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 134363829834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266009422494816).

134363829834000 is an abundant number, since it is smaller than the sum of its proper divisors (397655015155632).

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

134363829834000 is a wasteful number, since it uses less digits than its factorization.

134363829834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 134363829834000 in words is "one hundred thirty-four trillion, three hundred sixty-three billion, eight hundred twenty-nine million, eight hundred thirty-four thousand".