82149376000 has 304 divisors, whose sum is σ = 215922358080. Its totient is φ = 31142707200.

The previous prime is 82149375989. The next prime is 82149376003. The reversal of 82149376000 is 67394128.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82149376003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753663946 + ... + 753664054.

Almost surely, 2^82149376000 is an apocalyptic number.

82149376000 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 82149376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107961179040).

82149376000 is an abundant number, since it is smaller than the sum of its proper divisors (133772982080).

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

82149376000 is an frugal number, since it uses more digits than its factorization.

82149376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 82149376000 in words is "eighty-two billion, one hundred forty-nine million, three hundred seventy-six thousand".