143824896 has 216 divisors, whose sum is σ = 457608060. Its totient is φ = 45121536.

The previous prime is 143824873. The next prime is 143824921. The reversal of 143824896 is 698428341.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8460280 + ... + 8460296.

Almost surely, 2^143824896 is an apocalyptic number.

143824896 is a gapful number since it is divisible by the number (16) 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 143824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228804030).

143824896 is an abundant number, since it is smaller than the sum of its proper divisors (313783164).

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

143824896 is an frugal number, since it uses more digits than its factorization.

143824896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 22 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 143824896 is about 11992.7017806664. The cubic root of 143824896 is about 523.9357378995.

The spelling of 143824896 in words is "one hundred forty-three million, eight hundred twenty-four thousand, eight hundred ninety-six".