143145624680640 has 336 divisors, whose sum is σ = 493680666338496. Its totient is φ = 38069983641600.

The previous prime is 143145624680609. The next prime is 143145624680651. The reversal of 143145624680640 is 46086426541341.

143145624680640 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 4 + 5 + 624 + 6 + 8 + 0 + 6 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2145402480 + ... + 2145469200.

It is an arithmetic number, because the mean of its divisors is an integer number (1469287697436).

Almost surely, 2^{143145624680640} is an apocalyptic number.

143145624680640 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 143145624680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246840333169248).

143145624680640 is an abundant number, since it is smaller than the sum of its proper divisors (350535041657856).

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

143145624680640 is a wasteful number, since it uses less digits than its factorization.

143145624680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68728 (or 68715 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 143145624680640 in words is "one hundred forty-three trillion, one hundred forty-five billion, six hundred twenty-four million, six hundred eighty thousand, six hundred forty".