142353002352000 has 512 divisors, whose sum is σ = 519798480215040. Its totient is φ = 34174758912000.

The previous prime is 142353002351941. The next prime is 142353002352059. The reversal of 142353002352000 is 253200353241.

142353002352000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142353002351941) and next prime (142353002352059).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53075224 + ... + 55692776.

It is an arithmetic number, because the mean of its divisors is an integer number (1015231406670).

Almost surely, 2^{142353002352000} is an apocalyptic number.

142353002352000 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 142353002352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259899240107520).

142353002352000 is an abundant number, since it is smaller than the sum of its proper divisors (377445477863040).

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

142353002352000 is a wasteful number, since it uses less digits than its factorization.

142353002352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617699 (or 2617677 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 142353002352000 in words is "one hundred forty-two trillion, three hundred fifty-three billion, two million, three hundred fifty-two thousand".