32148900 has 243 divisors, whose sum is σ = 121723329. Its totient is φ = 7348320.

The previous prime is 32148889. The next prime is 32148911. The reversal of 32148900 is 984123.

The square root of 32148900 is 5670.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (32148889) and next prime (32148911).

It can be written as a sum of positive squares in only one way, i.e., 11573604 + 20575296 = 3402^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4592697 + ... + 4592703.

Almost surely, 2^32148900 is an apocalyptic number.

32148900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32148900 is the 5670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32148900

32148900 is an abundant number, since it is smaller than the sum of its proper divisors (89574429).

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

32148900 is an equidigital number, since it uses as much as digits as its factorization.

32148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 32148900 is about 317.9718736249.

The spelling of 32148900 in words is "thirty-two million, one hundred forty-eight thousand, nine hundred".