142200141723360 has 864 divisors, whose sum is σ = 611033268172320. Its totient is φ = 30792194592768.

The previous prime is 142200141723307. The next prime is 142200141723371. The reversal of 142200141723360 is 63327141002241.

142200141723360 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 0 + 1 + 417 + 233 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×142200141723360² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75486052 + ... + 77346908.

It is an arithmetic number, because the mean of its divisors is an integer number (707214430755).

Almost surely, 2^{142200141723360} is an apocalyptic number.

142200141723360 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 142200141723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305516634086160).

142200141723360 is an abundant number, since it is smaller than the sum of its proper divisors (468833126448960).

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

142200141723360 is a wasteful number, since it uses less digits than its factorization.

142200141723360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860933 (or 1860893 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 142200141723360 in words is "one hundred forty-two trillion, two hundred billion, one hundred forty-one million, seven hundred twenty-three thousand, three hundred sixty".