3135528144 has 360 divisors, whose sum is σ = 11070416448. Its totient is φ = 839808000.

The previous prime is 3135528089. The next prime is 3135528167. The reversal of 3135528144 is 4418255313.

3135528144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3135528099 and 3135528108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12492019 + ... + 12492269.

Almost surely, 2^3135528144 is an apocalyptic number.

3135528144 is a gapful number since it is divisible by the number (34) 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 3135528144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535208224).

3135528144 is an abundant number, since it is smaller than the sum of its proper divisors (7934888304).

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

3135528144 is an equidigital number, since it uses as much as digits as its factorization.

3135528144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 3135528144 is about 55995.7868415116. The cubic root of 3135528144 is about 1463.6488676842.

The spelling of 3135528144 in words is "three billion, one hundred thirty-five million, five hundred twenty-eight thousand, one hundred forty-four".