514142000 has 80 divisors (see below), whose sum is σ = 1297363392. Its totient is φ = 196697600.

The previous prime is 514141963. The next prime is 514142011. The reversal of 514142000 is 241415.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 514142000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40412 + ... + 51588.

Almost surely, 2^514142000 is an apocalyptic number.

514142000 is a gapful number since it is divisible by the number (50) 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 514142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648681696).

514142000 is an abundant number, since it is smaller than the sum of its proper divisors (783221392).

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

514142000 is a wasteful number, since it uses less digits than its factorization.

514142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 514142000 is about 22674.6995569952. The cubic root of 514142000 is about 801.1140728320.

Adding to 514142000 its reverse (241415), we get a palindrome (514383415).

The spelling of 514142000 in words is "five hundred fourteen million, one hundred forty-two thousand".