142265200 has 240 divisors, whose sum is σ = 442828800. Its totient is φ = 42624000.

The previous prime is 142265173. The next prime is 142265209. The reversal of 142265200 is 2562241.

142265200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142265209) 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, 954726 + ... + 954874.

It is an arithmetic number, because the mean of its divisors is an integer number (1845120).

Almost surely, 2^142265200 is an apocalyptic number.

142265200 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 142265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).

142265200 is an abundant number, since it is smaller than the sum of its proper divisors (300563600).

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

142265200 is a wasteful number, since it uses less digits than its factorization.

142265200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 142265200 is about 11927.4976420035. The cubic root of 142265200 is about 522.0349257079.

The spelling of 142265200 in words is "one hundred forty-two million, two hundred sixty-five thousand, two hundred".