142351220252400 has 240 divisors, whose sum is σ = 461958369438720. Its totient is φ = 37465102540800.

The previous prime is 142351220252383. The next prime is 142351220252453. The reversal of 142351220252400 is 4252022153241.

142351220252400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 97982496 + ... + 99424704.

It is an arithmetic number, because the mean of its divisors is an integer number (1924826539328).

Almost surely, 2^{142351220252400} is an apocalyptic number.

142351220252400 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 142351220252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230979184719360).

142351220252400 is an abundant number, since it is smaller than the sum of its proper divisors (319607149186320).

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

142351220252400 is a wasteful number, since it uses less digits than its factorization.

142351220252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443304 (or 1443293 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 142351220252400 in words is "one hundred forty-two trillion, three hundred fifty-one billion, two hundred twenty million, two hundred fifty-two thousand, four hundred".