142580400 has 120 divisors (see below), whose sum is σ = 460726464. Its totient is φ = 37689600.

The previous prime is 142580371. The next prime is 142580401. The reversal of 142580400 is 4085241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (142580401) 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, 156747 + ... + 157653.

Almost surely, 2^142580400 is an apocalyptic number.

142580400 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 142580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230363232).

142580400 is an abundant number, since it is smaller than the sum of its proper divisors (318146064).

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

142580400 is a wasteful number, since it uses less digits than its factorization.

142580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 142580400 is about 11940.7034968632. The cubic root of 142580400 is about 522.4201781255.

The spelling of 142580400 in words is "one hundred forty-two million, five hundred eighty thousand, four hundred".