8134045920 has 1728 divisors, whose sum is σ = 40991408640. Its totient is φ = 1478062080.

The previous prime is 8134045867. The next prime is 8134045921. The reversal of 8134045920 is 295404318.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8134045921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 428107671 + ... + 428107689.

It is an arithmetic number, because the mean of its divisors is an integer number (23721880).

Almost surely, 2^8134045920 is an apocalyptic number.

8134045920 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 8134045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495704320).

8134045920 is an abundant number, since it is smaller than the sum of its proper divisors (32857362720).

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

8134045920 is a wasteful number, since it uses less digits than its factorization.

8134045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8134045920 is about 90188.9456640890. The cubic root of 8134045920 is about 2011.1086777361.

It can be divided in two parts, 81340 and 45920, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 8134045920 in words is "eight billion, one hundred thirty-four million, forty-five thousand, nine hundred twenty".