2014134302000 has 160 divisors (see below), whose sum is σ = 5036145326784. Its totient is φ = 778652160000.

The previous prime is 2014134301999. The next prime is 2014134302009. The reversal of 2014134302000 is 2034314102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2014134302009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6960200 + ... + 7243800.

Almost surely, 2^{2014134302000} is an apocalyptic number.

2014134302000 is a gapful number since it is divisible by the number (20) 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 2014134302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518072663392).

2014134302000 is an abundant number, since it is smaller than the sum of its proper divisors (3022011024784).

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

2014134302000 is a wasteful number, since it uses less digits than its factorization.

2014134302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283744 (or 283728 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2014134302000 its reverse (2034314102), we get a palindrome (2016168616102).

The spelling of 2014134302000 in words is "two trillion, fourteen billion, one hundred thirty-four million, three hundred two thousand".