13761132 has 96 divisors (see below), whose sum is σ = 40932864. Its totient is φ = 3494400.

The previous prime is 13761131. The next prime is 13761169. The reversal of 13761132 is 23116731.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13761131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48832 + ... + 49112.

It is an arithmetic number, because the mean of its divisors is an integer number (426384).

Almost surely, 2^13761132 is an apocalyptic number.

13761132 is a gapful number since it is divisible by the number (12) 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 13761132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466432).

13761132 is an abundant number, since it is smaller than the sum of its proper divisors (27171732).

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

13761132 is a wasteful number, since it uses less digits than its factorization.

13761132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 13761132 is about 3709.5999784343. The cubic root of 13761132 is about 239.6356276388.

Adding to 13761132 its reverse (23116731), we get a palindrome (36877863).

The spelling of 13761132 in words is "thirteen million, seven hundred sixty-one thousand, one hundred thirty-two".