134400130200 has 288 divisors, whose sum is σ = 538515867600. Its totient is φ = 30719969280.

The previous prime is 134400130177. The next prime is 134400130211. The reversal of 134400130200 is 2031004431.

134400130200 is a `hidden beast` number, since 1 + 34 + 400 + 1 + 30 + 200 = 666.

134400130200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10632 + ... + 518568.

Almost surely, 2^134400130200 is an apocalyptic number.

134400130200 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 134400130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269257933800).

134400130200 is an abundant number, since it is smaller than the sum of its proper divisors (404115737400).

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

134400130200 is a wasteful number, since it uses less digits than its factorization.

134400130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507976 (or 507954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 134400130200 its reverse (2031004431), we get a palindrome (136431134631).

The spelling of 134400130200 in words is "one hundred thirty-four billion, four hundred million, one hundred thirty thousand, two hundred".