141285600 has 288 divisors, whose sum is σ = 529966080. Its totient is φ = 36288000.

The previous prime is 141285583. The next prime is 141285601. The reversal of 141285600 is 6582141.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141285601) by changing a digit.

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, 669495 + ... + 669705.

It is an arithmetic number, because the mean of its divisors is an integer number (1840160).

Almost surely, 2^141285600 is an apocalyptic number.

141285600 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 141285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264983040).

141285600 is an abundant number, since it is smaller than the sum of its proper divisors (388680480).

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

141285600 is a wasteful number, since it uses less digits than its factorization.

141285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 141285600 is about 11886.3619329044. The cubic root of 141285600 is about 520.8339675015.

The spelling of 141285600 in words is "one hundred forty-one million, two hundred eighty-five thousand, six hundred".