142467072000 has 1088 divisors, whose sum is σ = 565320757248. Its totient is φ = 31457280000.

The previous prime is 142467071977. The next prime is 142467072019. The reversal of 142467072000 is 270764241.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4595711985 + ... + 4595712015.

Almost surely, 2^142467072000 is an apocalyptic number.

142467072000 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 142467072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282660378624).

142467072000 is an abundant number, since it is smaller than the sum of its proper divisors (422853685248).

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

142467072000 is an equidigital number, since it uses as much as digits as its factorization.

142467072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 142467072000 in words is "one hundred forty-two billion, four hundred sixty-seven million, seventy-two thousand".