1045152 has 72 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 328320.

The previous prime is 1045151. The next prime is 1045153. The reversal of 1045152 is 2515401.

It is an interprime number because it is at equal distance from previous prime (1045151) and next prime (1045153).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1045151) 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 11 ways as a sum of consecutive naturals, for example, 5377 + ... + 5567.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2^1045152 is an apocalyptic number.

1045152 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 1045152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1045152 is an abundant number, since it is smaller than the sum of its proper divisors (2099808).

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

1045152 is a wasteful number, since it uses less digits than its factorization.

1045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1045152 is about 1022.3267579399. The cubic root of 1045152 is about 101.4829660722.

The spelling of 1045152 in words is "one million, forty-five thousand, one hundred fifty-two".