141922800 has 240 divisors, whose sum is σ = 535546080. Its totient is φ = 35573760.

The previous prime is 141922763. The next prime is 141922813. The reversal of 141922800 is 8229141.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 183214 + ... + 183986.

It is an arithmetic number, because the mean of its divisors is an integer number (2231442).

Almost surely, 2^141922800 is an apocalyptic number.

141922800 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 141922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267773040).

141922800 is an abundant number, since it is smaller than the sum of its proper divisors (393623280).

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

141922800 is a wasteful number, since it uses less digits than its factorization.

141922800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 141922800 is about 11913.1356073873. The cubic root of 141922800 is about 521.6157827974.

The spelling of 141922800 in words is "one hundred forty-one million, nine hundred twenty-two thousand, eight hundred".