141086400 has 672 divisors, whose sum is σ = 634959360. Its totient is φ = 26542080.

The previous prime is 141086399. The next prime is 141086401. The reversal of 141086400 is 4680141.

It is an interprime number because it is at equal distance from previous prime (141086399) and next prime (141086401).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (141086401) 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 95 ways as a sum of consecutive naturals, for example, 7425591 + ... + 7425609.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2^141086400 is an apocalyptic number.

141086400 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 141086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317479680).

141086400 is an abundant number, since it is smaller than the sum of its proper divisors (493872960).

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

141086400 is a wasteful number, since it uses less digits than its factorization.

141086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 141086400 is about 11877.9796261822. The cubic root of 141086400 is about 520.5890760098.

The spelling of 141086400 in words is "one hundred forty-one million, eighty-six thousand, four hundred".