1032145488 has 180 divisors, whose sum is σ = 3262892724. Its totient is φ = 304128000.

The previous prime is 1032145487. The next prime is 1032145501. The reversal of 1032145488 is 8845412301.

1032145488 is a `hidden beast` number, since 1 + 0 + 32 + 145 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 995276304 + 36869184 = 31548^2 + 6072^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032145487) 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 35 ways as a sum of consecutive naturals, for example, 643888 + ... + 645488.

Almost surely, 2^1032145488 is an apocalyptic number.

1032145488 is a gapful number since it is divisible by the number (18) 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 1032145488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631446362).

1032145488 is an abundant number, since it is smaller than the sum of its proper divisors (2230747236).

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

1032145488 is a wasteful number, since it uses less digits than its factorization.

1032145488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1032145488 is about 32127.0211504273. The cubic root of 1032145488 is about 1010.6023554554.

Adding to 1032145488 its reverse (8845412301), we get a palindrome (9877557789).

The spelling of 1032145488 in words is "one billion, thirty-two million, one hundred forty-five thousand, four hundred eighty-eight".