1245585132 has 108 divisors (see below), whose sum is σ = 3476949840. Its totient is φ = 375693120.

The previous prime is 1245585113. The next prime is 1245585151. The reversal of 1245585132 is 2315855421.

1245585132 is a `hidden beast` number, since 1 + 2 + 45 + 585 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (1245585113) and next prime (1245585151).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1171233 + ... + 1172295.

It is an arithmetic number, because the mean of its divisors is an integer number (32193980).

Almost surely, 2^1245585132 is an apocalyptic number.

1245585132 is a gapful number since it is divisible by the number (12) 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 1245585132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738474920).

1245585132 is an abundant number, since it is smaller than the sum of its proper divisors (2231364708).

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

1245585132 is a wasteful number, since it uses less digits than its factorization.

1245585132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1348 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 1245585132 is about 35292.8481706988. The cubic root of 1245585132 is about 1075.9476430534.

The spelling of 1245585132 in words is "one billion, two hundred forty-five million, five hundred eighty-five thousand, one hundred thirty-two".