143968500 has 288 divisors, whose sum is σ = 515144448. Its totient is φ = 33580800.

The previous prime is 143968481. The next prime is 143968501. The reversal of 143968500 is 5869341.

143968500 is a `hidden beast` number, since 143 + 9 + 6 + 8 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143968501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1345447 + ... + 1345553.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 2^143968500 is an apocalyptic number.

143968500 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 143968500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257572224).

143968500 is an abundant number, since it is smaller than the sum of its proper divisors (371175948).

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

143968500 is a wasteful number, since it uses less digits than its factorization.

143968500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 143968500 is about 11998.6874282148. The cubic root of 143968500 is about 524.1100569093.

The spelling of 143968500 in words is "one hundred forty-three million, nine hundred sixty-eight thousand, five hundred".