1157136192 has 280 divisors, whose sum is σ = 3651199200. Its totient is φ = 361718784.

The previous prime is 1157136181. The next prime is 1157136209. The reversal of 1157136192 is 2916317511.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6464359 + ... + 6464537.

Almost surely, 2^1157136192 is an apocalyptic number.

1157136192 is a gapful number since it is divisible by the number (12) 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 1157136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825599600).

1157136192 is an abundant number, since it is smaller than the sum of its proper divisors (2494063008).

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

1157136192 is a wasteful number, since it uses less digits than its factorization.

1157136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 1157136192 is about 34016.7046022980. The cubic root of 1157136192 is about 1049.8521914389.

The spelling of 1157136192 in words is "one billion, one hundred fifty-seven million, one hundred thirty-six thousand, one hundred ninety-two".