142356352320 has 1512 divisors, whose sum is σ = 634856361984. Its totient is φ = 29165101056.

The previous prime is 142356352301. The next prime is 142356352349. The reversal of 142356352320 is 23253653241.

142356352320 is a `hidden beast` number, since 1 + 4 + 23 + 563 + 52 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 1120916097 + ... + 1120916223.

Almost surely, 2^142356352320 is an apocalyptic number.

142356352320 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 142356352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317428180992).

142356352320 is an abundant number, since it is smaller than the sum of its proper divisors (492500009664).

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

142356352320 is a wasteful number, since it uses less digits than its factorization.

142356352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 142356352320 in words is "one hundred forty-two billion, three hundred fifty-six million, three hundred fifty-two thousand, three hundred twenty".