142029182470100 has 72 divisors (see below), whose sum is σ = 311710699238400. Its totient is φ = 56165334508800.

The previous prime is 142029182470073. The next prime is 142029182470169. The reversal of 142029182470100 is 1074281920241.

It is a super-2 number, since 2×142029182470100² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61513535 + ... + 63780665.

It is an arithmetic number, because the mean of its divisors is an integer number (4329315267200).

Almost surely, 2^{142029182470100} is an apocalyptic number.

142029182470100 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 142029182470100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155855349619200).

142029182470100 is an abundant number, since it is smaller than the sum of its proper divisors (169681516768300).

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

142029182470100 is a wasteful number, since it uses less digits than its factorization.

142029182470100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274273 (or 2274266 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 142029182470100 in words is "one hundred forty-two trillion, twenty-nine billion, one hundred eighty-two million, four hundred seventy thousand, one hundred".