141361200 has 150 divisors (see below), whose sum is σ = 507450284. Its totient is φ = 37687680.

The previous prime is 141361177. The next prime is 141361237. The reversal of 141361200 is 2163141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30219 + ... + 34581.

Almost surely, 2^141361200 is an apocalyptic number.

141361200 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 141361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253725142).

141361200 is an abundant number, since it is smaller than the sum of its proper divisors (366089084).

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

141361200 is a wasteful number, since it uses less digits than its factorization.

141361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 141361200 is about 11889.5416227877. The cubic root of 141361200 is about 520.9268479908.

The spelling of 141361200 in words is "one hundred forty-one million, three hundred sixty-one thousand, two hundred".