8153945190 has 288 divisors, whose sum is σ = 24034083840. Its totient is φ = 1984046400.

The previous prime is 8153945153. The next prime is 8153945203. The reversal of 8153945190 is 915493518.

8153945190 is a `hidden beast` number, since 81 + 5 + 39 + 451 + 90 = 666.

It is a super-2 number, since 2×8153945190² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38644185 + ... + 38644395.

It is an arithmetic number, because the mean of its divisors is an integer number (83451680).

Almost surely, 2^8153945190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8153945190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017041920).

8153945190 is an abundant number, since it is smaller than the sum of its proper divisors (15880138650).

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

8153945190 is a wasteful number, since it uses less digits than its factorization.

8153945190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 8153945190 is about 90299.1981691975. The cubic root of 8153945190 is about 2012.7473458060.

The spelling of 8153945190 in words is "eight billion, one hundred fifty-three million, nine hundred forty-five thousand, one hundred ninety".