142564160340 has 432 divisors, whose sum is σ = 534830325120. Its totient is φ = 30561753600.

The previous prime is 142564160293. The next prime is 142564160351. The reversal of 142564160340 is 43061465241.

142564160340 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 6 + 4 + 1 + 603 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142564160295 and 142564160304.

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, 16921369 + ... + 16929791.

It is an arithmetic number, because the mean of its divisors is an integer number (1238033160).

Almost surely, 2^142564160340 is an apocalyptic number.

142564160340 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 142564160340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267415162560).

142564160340 is an abundant number, since it is smaller than the sum of its proper divisors (392266164780).

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

142564160340 is a wasteful number, since it uses less digits than its factorization.

142564160340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8572 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 142564160340 in words is "one hundred forty-two billion, five hundred sixty-four million, one hundred sixty thousand, three hundred forty".