134050132315200 has 336 divisors, whose sum is σ = 465204285841536. Its totient is φ = 33724105113600.

The previous prime is 134050132315139. The next prime is 134050132315261. The reversal of 134050132315200 is 2513231050431.

It is an interprime number because it is at equal distance from previous prime (134050132315139) and next prime (134050132315261).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257391 + ... + 16375790.

Almost surely, 2^{134050132315200} is an apocalyptic number.

134050132315200 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 134050132315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232602142920768).

134050132315200 is an abundant number, since it is smaller than the sum of its proper divisors (331154153526336).

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

134050132315200 is a wasteful number, since it uses less digits than its factorization.

134050132315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16633302 (or 16633287 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 134050132315200 its reverse (2513231050431), we get a palindrome (136563363365631).

The spelling of 134050132315200 in words is "one hundred thirty-four trillion, fifty billion, one hundred thirty-two million, three hundred fifteen thousand, two hundred".