142464162960 has 1280 divisors, whose sum is σ = 645901516800. Its totient is φ = 28068249600.

The previous prime is 142464162913. The next prime is 142464163031. The reversal of 142464162960 is 69261464241.

142464162960 is a `hidden beast` number, since 1 + 42 + 464 + 1 + 62 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151396090 + ... + 151397030.

It is an arithmetic number, because the mean of its divisors is an integer number (504610560).

Almost surely, 2^142464162960 is an apocalyptic number.

142464162960 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 142464162960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322950758400).

142464162960 is an abundant number, since it is smaller than the sum of its proper divisors (503437353840).

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

142464162960 is a wasteful number, since it uses less digits than its factorization.

142464162960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 142464162960 in words is "one hundred forty-two billion, four hundred sixty-four million, one hundred sixty-two thousand, nine hundred sixty".