134300023200 has 648 divisors, whose sum is σ = 556495905420. Its totient is φ = 30385152000.

The previous prime is 134300023183. The next prime is 134300023271. The reversal of 134300023200 is 2320003431.

134300023200 is a `hidden beast` number, since 1 + 3 + 430 + 0 + 0 + 232 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 108370006416 + 25930016784 = 329196^2 + 161028^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 35630916 + ... + 35634684.

Almost surely, 2^134300023200 is an apocalyptic number.

134300023200 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 134300023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278247952710).

134300023200 is an abundant number, since it is smaller than the sum of its proper divisors (422195882220).

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

134300023200 is a wasteful number, since it uses less digits than its factorization.

134300023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 134300023200 its reverse (2320003431), we get a palindrome (136620026631).

The spelling of 134300023200 in words is "one hundred thirty-four billion, three hundred million, twenty-three thousand, two hundred".