8119148400 has 900 divisors, whose sum is σ = 34023820600. Its totient is φ = 1847577600.

The previous prime is 8119148377. The next prime is 8119148489. The reversal of 8119148400 is 48419118.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 74487546 + ... + 74487654.

Almost surely, 2^8119148400 is an apocalyptic number.

8119148400 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 8119148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17011910300).

8119148400 is an abundant number, since it is smaller than the sum of its proper divisors (25904672200).

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

8119148400 is a wasteful number, since it uses less digits than its factorization.

8119148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8119148400 is about 90106.3172036234. The cubic root of 8119148400 is about 2009.8801443346.

The spelling of 8119148400 in words is "eight billion, one hundred nineteen million, one hundred forty-eight thousand, four hundred".