1157156289 has 81 divisors (see below), whose sum is σ = 1922317033. Its totient is φ = 670543104.

The previous prime is 1157156279. The next prime is 1157156291. The reversal of 1157156289 is 9826517511.

The square root of 1157156289 is 34017.

It is a perfect power (a square), and thus also a powerful number.

1157156289 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 1 + 562 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114383025 + 1042773264 = 10695^2 + 32292^2 .

It is not a de Polignac number, because 1157156289 - 2¹⁷ = 1157025217 is a prime.

It is a super-3 number, since 3×1157156289³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

Its product of digits (151200) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1157156249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39901927 + ... + 39901955.

Almost surely, 2^1157156289 is an apocalyptic number.

1157156289 is the 34017-th square number.

1157156289 is the 17009-th centered octagonal number.

It is an amenable number.

1157156289 is a deficient number, since it is larger than the sum of its proper divisors (765160744).

1157156289 is a wasteful number, since it uses less digits than its factorization.

1157156289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The cubic root of 1157156289 is about 1049.8582693052.

The spelling of 1157156289 in words is "one billion, one hundred fifty-seven million, one hundred fifty-six thousand, two hundred eighty-nine".