142013110800 has 240 divisors, whose sum is σ = 525464528832. Its totient is φ = 32402227200.

The previous prime is 142013110781. The next prime is 142013110801. The reversal of 142013110800 is 8011310241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (142013110801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92029 + ... + 540828.

Almost surely, 2^142013110800 is an apocalyptic number.

142013110800 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 142013110800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262732264416).

142013110800 is an abundant number, since it is smaller than the sum of its proper divisors (383451418032).

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

142013110800 is a wasteful number, since it uses less digits than its factorization.

142013110800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632906 (or 632895 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 142013110800 in words is "one hundred forty-two billion, thirteen million, one hundred ten thousand, eight hundred".