8090154072 has 1024 divisors, whose sum is σ = 33443020800. Its totient is φ = 1741824000.

The previous prime is 8090154053. The next prime is 8090154091. The reversal of 8090154072 is 2704510908.

It is an interprime number because it is at equal distance from previous prime (8090154053) and next prime (8090154091).

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 113945797 + ... + 113945867.

It is an arithmetic number, because the mean of its divisors is an integer number (32659200).

Almost surely, 2^8090154072 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 8090154072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721510400).

8090154072 is an abundant number, since it is smaller than the sum of its proper divisors (25352866728).

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

8090154072 is a wasteful number, since it uses less digits than its factorization.

8090154072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8090154072 is about 89945.2837674105. The cubic root of 8090154072 is about 2007.4847933249.

The spelling of 8090154072 in words is "eight billion, ninety million, one hundred fifty-four thousand, seventy-two".