142959200 has 72 divisors (see below), whose sum is σ = 353368008. Its totient is φ = 56468480.

The previous prime is 142959161. The next prime is 142959203. The reversal of 142959200 is 2959241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142959203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65324 + ... + 67476.

It is an arithmetic number, because the mean of its divisors is an integer number (4907889).

Almost surely, 2^142959200 is an apocalyptic number.

142959200 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 142959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176684004).

142959200 is an abundant number, since it is smaller than the sum of its proper divisors (210408808).

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

142959200 is a wasteful number, since it uses less digits than its factorization.

142959200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 142959200 is about 11956.5546877016. The cubic root of 142959200 is about 522.8824150374.

The spelling of 142959200 in words is "one hundred forty-two million, nine hundred fifty-nine thousand, two hundred".