142916328960 has 320 divisors, whose sum is σ = 499380609024. Its totient is φ = 34711142400.

The previous prime is 142916328953. The next prime is 142916329001. The reversal of 142916328960 is 69823619241.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (51) 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 (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029705 + ... + 4065015.

Almost surely, 2^142916328960 is an apocalyptic number.

142916328960 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 142916328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249690304512).

142916328960 is an abundant number, since it is smaller than the sum of its proper divisors (356464280064).

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

142916328960 is a wasteful number, since it uses less digits than its factorization.

142916328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35385 (or 35369 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 142916328960 in words is "one hundred forty-two billion, nine hundred sixteen million, three hundred twenty-eight thousand, nine hundred sixty".