1159259136 has 352 divisors, whose sum is σ = 3823337472. Its totient is φ = 305233920.

The previous prime is 1159259117. The next prime is 1159259147. The reversal of 1159259136 is 6319529511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24665065 + ... + 24665111.

Almost surely, 2^1159259136 is an apocalyptic number.

1159259136 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 1159259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911668736).

1159259136 is an abundant number, since it is smaller than the sum of its proper divisors (2664078336).

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

1159259136 is a wasteful number, since it uses less digits than its factorization.

1159259136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its digits is 72900, while the sum is 42.

The square root of 1159259136 is about 34047.8947366794. The cubic root of 1159259136 is about 1050.4938375425.

The spelling of 1159259136 in words is "one billion, one hundred fifty-nine million, two hundred fifty-nine thousand, one hundred thirty-six".