142166074302000 has 1920 divisors, whose sum is σ = 587778179788800. Its totient is φ = 31356813312000.

The previous prime is 142166074301941. The next prime is 142166074302221. The reversal of 142166074302000 is 203470661241.

142166074302000 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 6 + 607 + 43 + 0 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×142166074302000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 184871357616 + ... + 184871358384.

It is an arithmetic number, because the mean of its divisors is an integer number (306134468640).

Almost surely, 2^{142166074302000} is an apocalyptic number.

142166074302000 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 142166074302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293889089894400).

142166074302000 is an abundant number, since it is smaller than the sum of its proper divisors (445612105486800).

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

142166074302000 is a wasteful number, since it uses less digits than its factorization.

142166074302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 142166074302000 in words is "one hundred forty-two trillion, one hundred sixty-six billion, seventy-four million, three hundred two thousand".