3135145500 has 240 divisors, whose sum is σ = 10306296000. Its totient is φ = 829699200.

The previous prime is 3135145499. The next prime is 3135145511. The reversal of 3135145500 is 55415313.

3135145500 is a `hidden beast` number, since 3 + 13 + 5 + 145 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8059306 + ... + 8059694.

It is an arithmetic number, because the mean of its divisors is an integer number (42942900).

Almost surely, 2^3135145500 is an apocalyptic number.

3135145500 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 3135145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153148000).

3135145500 is an abundant number, since it is smaller than the sum of its proper divisors (7171150500).

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

3135145500 is a wasteful number, since it uses less digits than its factorization.

3135145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 3135145500 is about 55992.3700159227. The cubic root of 3135145500 is about 1463.5893264932.

The spelling of 3135145500 in words is "three billion, one hundred thirty-five million, one hundred forty-five thousand, five hundred".