1872125136 has 400 divisors, whose sum is σ = 6697785600. Its totient is φ = 492687360.

The previous prime is 1872125111. The next prime is 1872125183. The reversal of 1872125136 is 6315212781.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1872125136.

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, 9407565 + ... + 9407763.

It is an arithmetic number, because the mean of its divisors is an integer number (16744464).

Almost surely, 2^1872125136 is an apocalyptic number.

1872125136 is a gapful number since it is divisible by the number (16) 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 1872125136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348892800).

1872125136 is an abundant number, since it is smaller than the sum of its proper divisors (4825660464).

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

1872125136 is a wasteful number, since it uses less digits than its factorization.

1872125136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1872125136 is about 43268.0613848136. The cubic root of 1872125136 is about 1232.4754904081.

The spelling of 1872125136 in words is "one billion, eight hundred seventy-two million, one hundred twenty-five thousand, one hundred thirty-six".