11875136 has 56 divisors (see below), whose sum is σ = 29016960. Its totient is φ = 4695552.

The previous prime is 11875121. The next prime is 11875141. The reversal of 11875136 is 63157811.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4805 + ... + 6843.

It is an arithmetic number, because the mean of its divisors is an integer number (518160).

Almost surely, 2^11875136 is an apocalyptic number.

11875136 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 11875136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508480).

11875136 is an abundant number, since it is smaller than the sum of its proper divisors (17141824).

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

11875136 is a wasteful number, since it uses less digits than its factorization.

11875136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2061 counting only the distinct ones).

The product of its digits is 5040, while the sum is 32.

The square root of 11875136 is about 3446.0319209201. The cubic root of 11875136 is about 228.1460027201.

The spelling of 11875136 in words is "eleven million, eight hundred seventy-five thousand, one hundred thirty-six".