142568345920 has 1008 divisors, whose sum is σ = 479957514048. Its totient is φ = 39852933120.

The previous prime is 142568345917. The next prime is 142568345963. The reversal of 142568345920 is 29543865241.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1952991004 + ... + 1952991076.

Almost surely, 2^142568345920 is an apocalyptic number.

142568345920 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 142568345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239978757024).

142568345920 is an abundant number, since it is smaller than the sum of its proper divisors (337389168128).

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

142568345920 is a wasteful number, since it uses less digits than its factorization.

142568345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 142568345920 in words is "one hundred forty-two billion, five hundred sixty-eight million, three hundred forty-five thousand, nine hundred twenty".