13785132 has 12 divisors (see below), whose sum is σ = 32165336. Its totient is φ = 4595040.

The previous prime is 13785103. The next prime is 13785133. The reversal of 13785132 is 23158731.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-4 number, since 4×13785132⁴ (a number of 30 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13785132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 574369 + ... + 574392.

Almost surely, 2^13785132 is an apocalyptic number.

13785132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13785132 is an abundant number, since it is smaller than the sum of its proper divisors (18380204).

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

13785132 is a wasteful number, since it uses less digits than its factorization.

13785132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148768 (or 1148766 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 13785132 is about 3712.8334193712. The cubic root of 13785132 is about 239.7748583072.

The spelling of 13785132 in words is "thirteen million, seven hundred eighty-five thousand, one hundred thirty-two".