143875505664 has 640 divisors, whose sum is σ = 500813660160. Its totient is φ = 40327372800.

The previous prime is 143875505659. The next prime is 143875505677. The reversal of 143875505664 is 466505578341.

It is a happy number.

143875505664 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 75 + 5 + 0 + 566 + 4 = 666.

It is a super-2 number, since 2×143875505664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 143875505664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108420969 + ... + 108422295.

It is an arithmetic number, because the mean of its divisors is an integer number (782521344).

Almost surely, 2^143875505664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143875505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250406830080).

143875505664 is an abundant number, since it is smaller than the sum of its proper divisors (356938154496).

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

143875505664 is a wasteful number, since it uses less digits than its factorization.

143875505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 143875505664 in words is "one hundred forty-three billion, eight hundred seventy-five million, five hundred five thousand, six hundred sixty-four".