82148400 has 180 divisors, whose sum is σ = 300331720. Its totient is φ = 20736000.

The previous prime is 82148389. The next prime is 82148411. The reversal of 82148400 is 484128.

It is an interprime number because it is at equal distance from previous prime (82148389) and next prime (82148411).

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 67800 + ... + 69000.

Almost surely, 2^82148400 is an apocalyptic number.

82148400 is a gapful number since it is divisible by the number (80) 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 82148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150165860).

82148400 is an abundant number, since it is smaller than the sum of its proper divisors (218183320).

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

82148400 is a wasteful number, since it uses less digits than its factorization.

82148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82148400 is about 9063.5754534290. The cubic root of 82148400 is about 434.7100723629.

The spelling of 82148400 in words is "eighty-two million, one hundred forty-eight thousand, four hundred".