141413200 has 120 divisors (see below), whose sum is σ = 373636800. Its totient is φ = 51194880.

The previous prime is 141413183. The next prime is 141413201. The reversal of 141413200 is 2314141.

It is a super-3 number, since 3×141413200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141413201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174396 + ... + 175204.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 2^141413200 is an apocalyptic number.

141413200 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 141413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186818400).

141413200 is an abundant number, since it is smaller than the sum of its proper divisors (232223600).

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

141413200 is a wasteful number, since it uses less digits than its factorization.

141413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 141413200 is about 11891.7282175469. The cubic root of 141413200 is about 520.9907148211.

Adding to 141413200 its reverse (2314141), we get a palindrome (143727341).

The spelling of 141413200 in words is "one hundred forty-one million, four hundred thirteen thousand, two hundred".