143311305412900 has 405 divisors, whose sum is σ = 340612342951923. Its totient is φ = 52336477036800.

The previous prime is 143311305412879. The next prime is 143311305412909. The reversal of 143311305412900 is 9214503113341.

The square root of 143311305412900 is 11971270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 784191718116 + 142527113694784 = 885546^2 + 11938472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 143311305412900.

It is not an unprimeable number, because it can be changed into a prime (143311305412909) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1963168567264 + ... + 1963168567336.

Almost surely, 2^{143311305412900} is an apocalyptic number.

143311305412900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

143311305412900 is the 11971270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143311305412900

143311305412900 is an abundant number, since it is smaller than the sum of its proper divisors (197301037539023).

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

143311305412900 is an frugal number, since it uses more digits than its factorization.

143311305412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 143311305412900 in words is "one hundred forty-three trillion, three hundred eleven billion, three hundred five million, four hundred twelve thousand, nine hundred".