1150133504 has 144 divisors (see below), whose sum is σ = 2711938320. Its totient is φ = 481689600.

The previous prime is 1150133497. The next prime is 1150133531. The reversal of 1150133504 is 4053310511.

It can be written as a sum of positive squares in 8 ways, for example, as 31899904 + 1118233600 = 5648^2 + 33440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1150133504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640354 + ... + 1641054.

It is an arithmetic number, because the mean of its divisors is an integer number (18832905).

Almost surely, 2^1150133504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355969160).

1150133504 is an abundant number, since it is smaller than the sum of its proper divisors (1561804816).

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

1150133504 is a wasteful number, since it uses less digits than its factorization.

1150133504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1150133504 is about 33913.6182675927. The cubic root of 1150133504 is about 1047.7300938481.

The spelling of 1150133504 in words is "one billion, one hundred fifty million, one hundred thirty-three thousand, five hundred four".