142601472000 has 1440 divisors, whose sum is σ = 598435077240. Its totient is φ = 33575731200.

The previous prime is 142601471953. The next prime is 142601472017. The reversal of 142601472000 is 274106241.

142601472000 is a `hidden beast` number, since 14 + 2 + 601 + 47 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19349922816 + 123251549184 = 139104^2 + 351072^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6200063989 + ... + 6200064011.

Almost surely, 2^142601472000 is an apocalyptic number.

142601472000 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 142601472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299217538620).

142601472000 is an abundant number, since it is smaller than the sum of its proper divisors (455833605240).

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

142601472000 is an equidigital number, since it uses as much as digits as its factorization.

142601472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 142601472000 its reverse (274106241), we get a palindrome (142875578241).

The spelling of 142601472000 in words is "one hundred forty-two billion, six hundred one million, four hundred seventy-two thousand".