141380800 has 168 divisors, whose sum is σ = 394014960. Its totient is φ = 49459200.

The previous prime is 141380791. The next prime is 141380803. The reversal of 141380800 is 8083141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (141380803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510262 + ... + 510538.

Almost surely, 2^141380800 is an apocalyptic number.

141380800 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 141380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197007480).

141380800 is an abundant number, since it is smaller than the sum of its proper divisors (252634160).

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

141380800 is a wasteful number, since it uses less digits than its factorization.

141380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 141380800 is about 11890.3658480301. The cubic root of 141380800 is about 520.9509227119.

The spelling of 141380800 in words is "one hundred forty-one million, three hundred eighty thousand, eight hundred".