3135132000 has 1536 divisors, whose sum is σ = 15850598400. Its totient is φ = 580608000.

The previous prime is 3135131999. The next prime is 3135132017. The reversal of 3135132000 is 2315313.

3135132000 is digitally balanced in base 2, because in such base 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108107986 + ... + 108108014.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^3135132000 is an apocalyptic number.

3135132000 is a gapful number since it is divisible by the number (30) 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 3135132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

3135132000 is an abundant number, since it is smaller than the sum of its proper divisors (12715466400).

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

3135132000 is a wasteful number, since it uses less digits than its factorization.

3135132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 3135132000 is about 55992.2494636534. The cubic root of 3135132000 is about 1463.5872257417.

Adding to 3135132000 its reverse (2315313), we get a palindrome (3137447313).

It can be divided in two parts, 313513 and 2000, that added together give a palindrome (315513).

The spelling of 3135132000 in words is "three billion, one hundred thirty-five million, one hundred thirty-two thousand".