142524056100 has 144 divisors (see below), whose sum is σ = 416802072960. Its totient is φ = 37598668800.

The previous prime is 142524056089. The next prime is 142524056111. The reversal of 142524056100 is 1650425241.

It is an interprime number because it is at equal distance from previous prime (142524056089) and next prime (142524056111).

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

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 47 ways as a sum of consecutive naturals, for example, 42053206 + ... + 42056594.

It is an arithmetic number, because the mean of its divisors is an integer number (2894458840).

Almost surely, 2^142524056100 is an apocalyptic number.

142524056100 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 142524056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208401036480).

142524056100 is an abundant number, since it is smaller than the sum of its proper divisors (274278016860).

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

142524056100 is a wasteful number, since it uses less digits than its factorization.

142524056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 142524056100 in words is "one hundred forty-two billion, five hundred twenty-four million, fifty-six thousand, one hundred".