1157005120 has 28 divisors (see below), whose sum is σ = 2755119204. Its totient is φ = 462801920.

The previous prime is 1157005099. The next prime is 1157005121. The reversal of 1157005120 is 215007511.

It can be written as a sum of positive squares in 2 ways, for example, as 630210816 + 526794304 = 25104^2 + 22952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1157005091 and 1157005100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157005121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1807501 + ... + 1808140.

Almost surely, 2^1157005120 is an apocalyptic number.

1157005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157005120 is an abundant number, since it is smaller than the sum of its proper divisors (1598114084).

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

1157005120 is an equidigital number, since it uses as much as digits as its factorization.

1157005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615658 (or 3615648 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 1157005120 is about 34014.7779648787. Note that the first 3 decimals coincide. The cubic root of 1157005120 is about 1049.8125500600.

The spelling of 1157005120 in words is "one billion, one hundred fifty-seven million, five thousand, one hundred twenty".