142513240320 has 864 divisors, whose sum is σ = 582403820544. Its totient is φ = 33028300800.

The previous prime is 142513240319. The next prime is 142513240333. The reversal of 142513240320 is 23042315241.

142513240320 is a `hidden beast` number, since 1 + 4 + 251 + 3 + 2 + 403 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 78692215 + ... + 78694025.

It is an arithmetic number, because the mean of its divisors is an integer number (674078496).

Almost surely, 2^142513240320 is an apocalyptic number.

142513240320 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 142513240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291201910272).

142513240320 is an abundant number, since it is smaller than the sum of its proper divisors (439890580224).

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

142513240320 is a wasteful number, since it uses less digits than its factorization.

142513240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 142513240320 its reverse (23042315241), we get a palindrome (165555555561).

The spelling of 142513240320 in words is "one hundred forty-two billion, five hundred thirteen million, two hundred forty thousand, three hundred twenty".