142587200 has 168 divisors, whose sum is σ = 415747200. Its totient is φ = 47093760.

The previous prime is 142587163. The next prime is 142587209. The reversal of 142587200 is 2785241.

142587200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142587200² = 40662219207680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142587209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324581 + ... + 325019.

Almost surely, 2^142587200 is an apocalyptic number.

142587200 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 142587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207873600).

142587200 is an abundant number, since it is smaller than the sum of its proper divisors (273160000).

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

142587200 is a wasteful number, since it uses less digits than its factorization.

142587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 142587200 is about 11940.9882338105. The cubic root of 142587200 is about 522.4284831491.

The spelling of 142587200 in words is "one hundred forty-two million, five hundred eighty-seven thousand, two hundred".