975138944 has 64 divisors (see below), whose sum is σ = 2131761240. Its totient is φ = 441532416.

The previous prime is 975138943. The next prime is 975138977. The reversal of 975138944 is 449831579.

It can be written as a sum of positive squares in 4 ways, for example, as 625000000 + 350138944 = 25000^2 + 18712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 975138892 and 975138901.

It is not an unprimeable number, because it can be changed into a prime (975138943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82664 + ... + 93720.

Almost surely, 2^975138944 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 975138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065880620).

975138944 is an abundant number, since it is smaller than the sum of its proper divisors (1156622296).

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

975138944 is a wasteful number, since it uses less digits than its factorization.

975138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137 (or 11125 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 50.

The square root of 975138944 is about 31227.2147973526. The cubic root of 975138944 is about 991.6433421281.

The spelling of 975138944 in words is "nine hundred seventy-five million, one hundred thirty-eight thousand, nine hundred forty-four".