142763700384 has 144 divisors (see below), whose sum is σ = 427832181504. Its totient is φ = 45067968000.

The previous prime is 142763700383. The next prime is 142763700413. The reversal of 142763700384 is 483007367241.

142763700384 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 637 + 0 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (142763700383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562329 + ... + 775719.

It is an arithmetic number, because the mean of its divisors is an integer number (2971056816).

Almost surely, 2^142763700384 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 142763700384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213916090752).

142763700384 is an abundant number, since it is smaller than the sum of its proper divisors (285068481120).

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

142763700384 is a wasteful number, since it uses less digits than its factorization.

142763700384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213531 (or 213520 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 142763700384 in words is "one hundred forty-two billion, seven hundred sixty-three million, seven hundred thousand, three hundred eighty-four".