845157120 has 144 divisors (see below), whose sum is σ = 2728249440. Its totient is φ = 222953472.

The previous prime is 845157097. The next prime is 845157139. The reversal of 845157120 is 21751548.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371346 + ... + 373614.

Almost surely, 2^845157120 is an apocalyptic number.

845157120 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 845157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364124720).

845157120 is an abundant number, since it is smaller than the sum of its proper divisors (1883092320).

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

845157120 is a wasteful number, since it uses less digits than its factorization.

845157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 845157120 is about 29071.5861280392. The cubic root of 845157120 is about 945.4657875658.

The spelling of 845157120 in words is "eight hundred forty-five million, one hundred fifty-seven thousand, one hundred twenty".