142751362400 has 72 divisors (see below), whose sum is σ = 366833474280. Its totient is φ = 54095247360.

The previous prime is 142751362349. The next prime is 142751362421. The reversal of 142751362400 is 4263157241.

It is a super-2 number, since 2×142751362400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4680569 + ... + 4710968.

It is an arithmetic number, because the mean of its divisors is an integer number (5094909365).

Almost surely, 2^142751362400 is an apocalyptic number.

142751362400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142751362400 is an abundant number, since it is smaller than the sum of its proper divisors (224082111880).

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

142751362400 is a wasteful number, since it uses less digits than its factorization.

142751362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391576 (or 9391563 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 142751362400 in words is "one hundred forty-two billion, seven hundred fifty-one million, three hundred sixty-two thousand, four hundred".