1157145264 has 300 divisors, whose sum is σ = 3783528672. Its totient is φ = 341003520.

The previous prime is 1157145259. The next prime is 1157145271. The reversal of 1157145264 is 4625417511.

1157145264 is a `hidden beast` number, since 115 + 7 + 14 + 526 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7370274 + ... + 7370430.

Almost surely, 2^1157145264 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 1157145264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891764336).

1157145264 is an abundant number, since it is smaller than the sum of its proper divisors (2626383408).

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

1157145264 is a wasteful number, since it uses less digits than its factorization.

1157145264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

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

The square root of 1157145264 is about 34016.8379482867. The cubic root of 1157145264 is about 1049.8549350612.

The spelling of 1157145264 in words is "one billion, one hundred fifty-seven million, one hundred forty-five thousand, two hundred sixty-four".