1157040756 has 18 divisors (see below), whose sum is σ = 2924742002. Its totient is φ = 385680240.

The previous prime is 1157040751. The next prime is 1157040763. The reversal of 1157040756 is 6570407511.

1157040756 is a `hidden beast` number, since 11 + 570 + 4 + 0 + 75 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1093360356 + 63680400 = 33066^2 + 7980^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1157040756² = 2677486622090103072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 32140021 = 1157040756 / (1 + 1 + 5 + 7 + 0 + 4 + 0 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 1157040756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157040751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16069975 + ... + 16070046.

Almost surely, 2^1157040756 is an apocalyptic number.

It is an amenable number.

1157040756 is an abundant number, since it is smaller than the sum of its proper divisors (1767701246).

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

1157040756 is a wasteful number, since it uses less digits than its factorization.

1157040756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32140031 (or 32140026 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1157040756 is about 34015.3017919877. The cubic root of 1157040756 is about 1049.8233280982.

It can be divided in two parts, 11570 and 40756, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 1157040756 in words is "one billion, one hundred fifty-seven million, forty thousand, seven hundred fifty-six".