1145307136 has 76 divisors (see below), whose sum is σ = 2434788828. Its totient is φ = 536870912.

The previous prime is 1145307133. The next prime is 1145307143. The reversal of 1145307136 is 6317035411.

It can be written as a sum of positive squares in 2 ways, for example, as 1040449536 + 104857600 = 32256^2 + 10240^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1145307098 and 1145307107.

It is not an unprimeable number, because it can be changed into a prime (1145307131) by changing a digit.

In principle, a polygon with 1145307136 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4456320 + ... + 4456576.

Almost surely, 2^1145307136 is an apocalyptic number.

1145307136 is a gapful number since it is divisible by the number (16) 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 1145307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217394414).

1145307136 is an abundant number, since it is smaller than the sum of its proper divisors (1289481692).

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

1145307136 is an frugal number, since it uses more digits than its factorization.

1145307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1145307136 is about 33842.3866770652. The cubic root of 1145307136 is about 1046.2624900743.

The spelling of 1145307136 in words is "one billion, one hundred forty-five million, three hundred seven thousand, one hundred thirty-six".