142305907968 has 288 divisors, whose sum is σ = 481510149120. Its totient is φ = 40610764800.

The previous prime is 142305907963. The next prime is 142305907969. The reversal of 142305907968 is 869709503241.

142305907968 is a `hidden beast` number, since 1 + 42 + 3 + 0 + 590 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142305907963) 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 31 ways as a sum of consecutive naturals, for example, 70204171 + ... + 70206197.

It is an arithmetic number, because the mean of its divisors is an integer number (1671910240).

It is a 1-persistent number, because it is pandigital, but 2⋅142305907968 = 284611815936 is not.

Almost surely, 2^142305907968 is an apocalyptic number.

142305907968 is a gapful number since it is divisible by the number (18) 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 142305907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240755074560).

142305907968 is an abundant number, since it is smaller than the sum of its proper divisors (339204241152).

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

142305907968 is a wasteful number, since it uses less digits than its factorization.

142305907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 142305907968 in words is "one hundred forty-two billion, three hundred five million, nine hundred seven thousand, nine hundred sixty-eight".