1415134200 has 96 divisors (see below), whose sum is σ = 4447148400. Its totient is φ = 372188160.

The previous prime is 1415134187. The next prime is 1415134223. The reversal of 1415134200 is 24315141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27646 + ... + 59954.

Almost surely, 2^1415134200 is an apocalyptic number.

1415134200 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 1415134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223574200).

1415134200 is an abundant number, since it is smaller than the sum of its proper divisors (3032014200).

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

1415134200 is a wasteful number, since it uses less digits than its factorization.

1415134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32401 (or 32392 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1415134200 is about 37618.2694976789. The cubic root of 1415134200 is about 1122.7055656642.

Adding to 1415134200 its reverse (24315141), we get a palindrome (1439449341).

The spelling of 1415134200 in words is "one billion, four hundred fifteen million, one hundred thirty-four thousand, two hundred".