3125136000 has 512 divisors, whose sum is σ = 12098211840. Its totient is φ = 698880000.

The previous prime is 3125135987. The next prime is 3125136011. The reversal of 3125136000 is 6315213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23855935 + ... + 23856065.

It is an arithmetic number, because the mean of its divisors is an integer number (23629320).

Almost surely, 2^3125136000 is an apocalyptic number.

3125136000 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 3125136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049105920).

3125136000 is an abundant number, since it is smaller than the sum of its proper divisors (8973075840).

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

3125136000 is a wasteful number, since it uses less digits than its factorization.

3125136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3125136000 is about 55902.9158452401. The cubic root of 3125136000 is about 1462.0300776741.

The spelling of 3125136000 in words is "three billion, one hundred twenty-five million, one hundred thirty-six thousand".