32142300 has 72 divisors (see below), whose sum is σ = 97910400. Its totient is φ = 8118720.

The previous prime is 32142289. The next prime is 32142301. The reversal of 32142300 is 324123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32142300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142301) 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, 2881 + ... + 8519.

Almost surely, 2^32142300 is an apocalyptic number.

32142300 is a gapful number since it is divisible by the number (30) 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 32142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48955200).

32142300 is an abundant number, since it is smaller than the sum of its proper divisors (65768100).

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

32142300 is a wasteful number, since it uses less digits than its factorization.

32142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 32142300 is about 5669.4179595440. The cubic root of 32142300 is about 317.9501128182.

Adding to 32142300 its reverse (324123), we get a palindrome (32466423).

The spelling of 32142300 in words is "thirty-two million, one hundred forty-two thousand, three hundred".