1075149504 has 448 divisors, whose sum is σ = 3925824000. Its totient is φ = 283668480.

The previous prime is 1075149503. The next prime is 1075149527. The reversal of 1075149504 is 4059415701.

1075149504 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 149 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1075149503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4694862 + ... + 4695090.

It is an arithmetic number, because the mean of its divisors is an integer number (8763000).

Almost surely, 2^1075149504 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 1075149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962912000).

1075149504 is an abundant number, since it is smaller than the sum of its proper divisors (2850674496).

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

1075149504 is a wasteful number, since it uses less digits than its factorization.

1075149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1075149504 is about 32789.4724568725. The cubic root of 1075149504 is about 1024.4472940094.

The spelling of 1075149504 in words is "one billion, seventy-five million, one hundred forty-nine thousand, five hundred four".