3135147000 has 256 divisors, whose sum is σ = 10189670400. Its totient is φ = 801920000.

The previous prime is 3135146999. The next prime is 3135147007. The reversal of 3135147000 is 7415313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135147007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8732821 + ... + 8733179.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 2^3135147000 is an apocalyptic number.

3135147000 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 3135147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

3135147000 is an abundant number, since it is smaller than the sum of its proper divisors (7054523400).

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

3135147000 is a wasteful number, since it uses less digits than its factorization.

3135147000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 3135147000 is about 55992.3834106033. The cubic root of 3135147000 is about 1463.5895599096.

The spelling of 3135147000 in words is "three billion, one hundred thirty-five million, one hundred forty-seven thousand".