141215200 has 144 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 47808000.

The previous prime is 141215171. The next prime is 141215203. The reversal of 141215200 is 2512141.

It is a super-2 number, since 2×141215200² = 39883465422080000, which contains 22 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 (141215203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845517 + ... + 845683.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2^141215200 is an apocalyptic number.

141215200 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 141215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

141215200 is an abundant number, since it is smaller than the sum of its proper divisors (257759264).

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

141215200 is a wasteful number, since it uses less digits than its factorization.

141215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 141215200 is about 11883.4001868152. The cubic root of 141215200 is about 520.7474458198.

Adding to 141215200 its reverse (2512141), we get a palindrome (143727341).

It can be divided in two parts, 14121 and 5200, that added together give a square (19321 = 139²).

The spelling of 141215200 in words is "one hundred forty-one million, two hundred fifteen thousand, two hundred".