134302110142200 has 1536 divisors, whose sum is σ = 582680546058240. Its totient is φ = 24689658470400.

The previous prime is 134302110142169. The next prime is 134302110142223. The reversal of 134302110142200 is 2241011203431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1488842299 + ... + 1488932501.

It is an arithmetic number, because the mean of its divisors is an integer number (379349313840).

Almost surely, 2^{134302110142200} is an apocalyptic number.

134302110142200 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 134302110142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291340273029120).

134302110142200 is an abundant number, since it is smaller than the sum of its proper divisors (448378435916040).

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

134302110142200 is a wasteful number, since it uses less digits than its factorization.

134302110142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90357 (or 90348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 134302110142200 its reverse (2241011203431), we get a palindrome (136543121345631).

The spelling of 134302110142200 in words is "one hundred thirty-four trillion, three hundred two billion, one hundred ten million, one hundred forty-two thousand, two hundred".