141800400 has 360 divisors, whose sum is σ = 597265344. Its totient is φ = 30412800.

The previous prime is 141800377. The next prime is 141800411. The reversal of 141800400 is 4008141.

141800400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428235 + ... + 428565.

Almost surely, 2^141800400 is an apocalyptic number.

141800400 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 141800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298632672).

141800400 is an abundant number, since it is smaller than the sum of its proper divisors (455464944).

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

141800400 is a wasteful number, since it uses less digits than its factorization.

141800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141800400 is about 11907.9973127306. The cubic root of 141800400 is about 521.4657854397.

Adding to 141800400 its reverse (4008141), we get a palindrome (145808541).

The spelling of 141800400 in words is "one hundred forty-one million, eight hundred thousand, four hundred".