142913263680 has 2240 divisors, whose sum is σ = 645797560320. Its totient is φ = 29561241600.

The previous prime is 142913263651. The next prime is 142913263681. The reversal of 142913263680 is 86362319241.

142913263680 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 1 + 3 + 2 + 636 + 8 + 0 = 666.

142913263680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (142913263681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3862520622 + ... + 3862520658.

Almost surely, 2^142913263680 is an apocalyptic number.

142913263680 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 142913263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322898780160).

142913263680 is an abundant number, since it is smaller than the sum of its proper divisors (502884296640).

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

142913263680 is a wasteful number, since it uses less digits than its factorization.

142913263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 142913263680 in words is "one hundred forty-two billion, nine hundred thirteen million, two hundred sixty-three thousand, six hundred eighty".