142642811520 has 384 divisors, whose sum is σ = 538519363200. Its totient is φ = 34504335360.

The previous prime is 142642811513. The next prime is 142642811569. The reversal of 142642811520 is 25118246241.

142642811520 is a `hidden beast` number, since 1 + 4 + 2 + 642 + 8 + 1 + 1 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32248029 + ... + 32252451.

It is an arithmetic number, because the mean of its divisors is an integer number (1402394175).

Almost surely, 2^142642811520 is an apocalyptic number.

142642811520 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 142642811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269259681600).

142642811520 is an abundant number, since it is smaller than the sum of its proper divisors (395876551680).

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

142642811520 is a wasteful number, since it uses less digits than its factorization.

142642811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 142642811520 in words is "one hundred forty-two billion, six hundred forty-two million, eight hundred eleven thousand, five hundred twenty".