142181024004 has 60 divisors (see below), whose sum is σ = 372138343500. Its totient is φ = 47336415552.

The previous prime is 142181024003. The next prime is 142181024009. The reversal of 142181024004 is 400420181241.

142181024004 is a `hidden beast` number, since 142 + 18 + 102 + 400 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31723172100 + 110457851904 = 178110^2 + 332352^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142181024003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3922 + ... + 533270.

It is an arithmetic number, because the mean of its divisors is an integer number (6202305725).

Almost surely, 2^142181024004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142181024004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186069171750).

142181024004 is an abundant number, since it is smaller than the sum of its proper divisors (229957319496).

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

142181024004 is a wasteful number, since it uses less digits than its factorization.

142181024004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530194 (or 530183 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 142181024004 in words is "one hundred forty-two billion, one hundred eighty-one million, twenty-four thousand, four".