8145156096 has 384 divisors, whose sum is σ = 30097267200. Its totient is φ = 2114519040.

The previous prime is 8145156013. The next prime is 8145156121. The reversal of 8145156096 is 6906515418.

8145156096 is a `hidden beast` number, since 81 + 4 + 5 + 1 + 560 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8145156096² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4256836 + ... + 4258748.

It is an arithmetic number, because the mean of its divisors is an integer number (78378300).

Almost surely, 2^8145156096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8145156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048633600).

8145156096 is an abundant number, since it is smaller than the sum of its proper divisors (21952111104).

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

8145156096 is a wasteful number, since it uses less digits than its factorization.

8145156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 8145156096 is about 90250.5185359065. The cubic root of 8145156096 is about 2012.0239092738.

The spelling of 8145156096 in words is "eight billion, one hundred forty-five million, one hundred fifty-six thousand, ninety-six".