8013745152 has 352 divisors, whose sum is σ = 27731773440. Its totient is φ = 2238382080.

The previous prime is 8013745139. The next prime is 8013745193. The reversal of 8013745152 is 2515473108.

8013745152 is a `hidden beast` number, since 8 + 0 + 137 + 4 + 515 + 2 = 666.

It is a super-2 number, since 2×8013745152² (a number of 21 digits) contains 22 as substring.

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

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, 9095752 + ... + 9096632.

Almost surely, 2^8013745152 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 8013745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865886720).

8013745152 is an abundant number, since it is smaller than the sum of its proper divisors (19718028288).

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

8013745152 is a wasteful number, since it uses less digits than its factorization.

8013745152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8013745152 is about 89519.5238593236. The cubic root of 8013745152 is about 2001.1447739546.

The spelling of 8013745152 in words is "eight billion, thirteen million, seven hundred forty-five thousand, one hundred fifty-two".