134286352200 has 1920 divisors, whose sum is σ = 642771360000. Its totient is φ = 25757222400.

The previous prime is 134286352181. The next prime is 134286352217. The reversal of 134286352200 is 2253682431.

134286352200 is a `hidden beast` number, since 1 + 3 + 4 + 286 + 352 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10329719394 + ... + 10329719406.

It is an arithmetic number, because the mean of its divisors is an integer number (334776750).

Almost surely, 2^134286352200 is an apocalyptic number.

134286352200 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 134286352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321385680000).

134286352200 is an abundant number, since it is smaller than the sum of its proper divisors (508485007800).

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

134286352200 is a wasteful number, since it uses less digits than its factorization.

134286352200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Subtracting from 134286352200 its reverse (2253682431), we obtain a square (132032669769 = 363363²).

The spelling of 134286352200 in words is "one hundred thirty-four billion, two hundred eighty-six million, three hundred fifty-two thousand, two hundred".