26131140 has 192 divisors, whose sum is σ = 96337920. Its totient is φ = 5754240.

The previous prime is 26131129. The next prime is 26131141. The reversal of 26131140 is 4113162.

It is a happy number.

26131140 is a `hidden beast` number, since 2 + 613 + 11 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (26131141) by changing a digit.

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, 117069 + ... + 117291.

It is an arithmetic number, because the mean of its divisors is an integer number (501760).

Almost surely, 2^26131140 is an apocalyptic number.

26131140 is a gapful number since it is divisible by the number (20) 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 26131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48168960).

26131140 is an abundant number, since it is smaller than the sum of its proper divisors (70206780).

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

26131140 is a wasteful number, since it uses less digits than its factorization.

26131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 26131140 is about 5111.8626742118. The cubic root of 26131140 is about 296.7468509146.

The spelling of 26131140 in words is "twenty-six million, one hundred thirty-one thousand, one hundred forty".