82134000 has 360 divisors, whose sum is σ = 322135632. Its totient is φ = 20217600.

The previous prime is 82133993. The next prime is 82134037. The reversal of 82134000 is 43128.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6317994 + ... + 6318006.

Almost surely, 2^82134000 is an apocalyptic number.

82134000 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 82134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161067816).

82134000 is an abundant number, since it is smaller than the sum of its proper divisors (240001632).

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

82134000 is a wasteful number, since it uses less digits than its factorization.

82134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82134000 is about 9062.7810301254. The cubic root of 82134000 is about 434.6846704040.

Adding to 82134000 its reverse (43128), we get a palindrome (82177128).

The spelling of 82134000 in words is "eighty-two million, one hundred thirty-four thousand".