142002100320 has 96 divisors (see below), whose sum is σ = 448082718048. Its totient is φ = 37801525248.

The previous prime is 142002100249. The next prime is 142002100333. The reversal of 142002100320 is 23001200241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142002100320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20602 + ... + 533318.

It is an arithmetic number, because the mean of its divisors is an integer number (4667528313).

Almost surely, 2^142002100320 is an apocalyptic number.

142002100320 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 142002100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224041359024).

142002100320 is an abundant number, since it is smaller than the sum of its proper divisors (306080617728).

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

142002100320 is a wasteful number, since it uses less digits than its factorization.

142002100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513312 (or 513304 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 142002100320 its reverse (23001200241), we get a palindrome (165003300561).

The spelling of 142002100320 in words is "one hundred forty-two billion, two million, one hundred thousand, three hundred twenty".