142993797120 has 624 divisors, whose sum is σ = 523794136320. Its totient is φ = 37408407552.

The previous prime is 142993797113. The next prime is 142993797143. The reversal of 142993797120 is 21797399241.

It is a happy number.

142993797120 is a `hidden beast` number, since 1 + 429 + 9 + 3 + 7 + 97 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293621517 + ... + 293622003.

It is an arithmetic number, because the mean of its divisors is an integer number (839413680).

Almost surely, 2^142993797120 is an apocalyptic number.

142993797120 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 142993797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261897068160).

142993797120 is an abundant number, since it is smaller than the sum of its proper divisors (380800339200).

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

142993797120 is an frugal number, since it uses more digits than its factorization.

142993797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 142993797120 in words is "one hundred forty-two billion, nine hundred ninety-three million, seven hundred ninety-seven thousand, one hundred twenty".