1578145152 has 128 divisors (see below), whose sum is σ = 4314232800. Its totient is φ = 510935040.

The previous prime is 1578145147. The next prime is 1578145183. The reversal of 1578145152 is 2515418751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1578145152² = 4981084241562206208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1578145152.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2084358 + ... + 2085114.

Almost surely, 2^1578145152 is an apocalyptic number.

1578145152 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 1578145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157116400).

1578145152 is an abundant number, since it is smaller than the sum of its proper divisors (2736087648).

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

1578145152 is an equidigital number, since it uses as much as digits as its factorization.

1578145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 912 counting only the distinct ones).

The product of its digits is 56000, while the sum is 39.

The square root of 1578145152 is about 39725.8750942003. The cubic root of 1578145152 is about 1164.2573326028.

The spelling of 1578145152 in words is "one billion, five hundred seventy-eight million, one hundred forty-five thousand, one hundred fifty-two".