142611109920 has 768 divisors, whose sum is σ = 551809843200. Its totient is φ = 34275225600.

The previous prime is 142611109919. The next prime is 142611109933. The reversal of 142611109920 is 29901116241.

It is a happy number.

142611109920 is a `hidden beast` number, since 1 + 4 + 2 + 611 + 10 + 9 + 9 + 20 = 666.

It is a super-2 number, since 2×142611109920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123901345 + ... + 123902495.

It is an arithmetic number, because the mean of its divisors is an integer number (718502400).

Almost surely, 2^142611109920 is an apocalyptic number.

142611109920 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 142611109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275904921600).

142611109920 is an abundant number, since it is smaller than the sum of its proper divisors (409198733280).

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

142611109920 is a wasteful number, since it uses less digits than its factorization.

142611109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 142611109920 in words is "one hundred forty-two billion, six hundred eleven million, one hundred nine thousand, nine hundred twenty".