142237105920 has 1728 divisors, whose sum is σ = 646361856000. Its totient is φ = 29587783680.

The previous prime is 142237105903. The next prime is 142237105921. The reversal of 142237105920 is 29501732241.

142237105920 is a `hidden beast` number, since 1 + 4 + 22 + 37 + 10 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142237105921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2003339485 + ... + 2003339555.

It is an arithmetic number, because the mean of its divisors is an integer number (374052000).

Almost surely, 2^142237105920 is an apocalyptic number.

142237105920 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 142237105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323180928000).

142237105920 is an abundant number, since it is smaller than the sum of its proper divisors (504124750080).

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

142237105920 is an equidigital number, since it uses as much as digits as its factorization.

142237105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 142237105920 in words is "one hundred forty-two billion, two hundred thirty-seven million, one hundred five thousand, nine hundred twenty".