14556132 has 48 divisors (see below), whose sum is σ = 38465280. Its totient is φ = 4758624.

The previous prime is 14556121. The next prime is 14556137. The reversal of 14556132 is 23165541.

14556132 is a `hidden beast` number, since 1 + 45 + 5 + 613 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14556096 and 14556105.

It is not an unprimeable number, because it can be changed into a prime (14556137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4453 + ... + 6995.

It is an arithmetic number, because the mean of its divisors is an integer number (801360).

Almost surely, 2^14556132 is an apocalyptic number.

14556132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

14556132 is the 1908-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14556132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232640).

14556132 is an abundant number, since it is smaller than the sum of its proper divisors (23909148).

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

14556132 is a wasteful number, since it uses less digits than its factorization.

14556132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2601 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 14556132 is about 3815.2499262827. The cubic root of 14556132 is about 244.1642046187.

The spelling of 14556132 in words is "fourteen million, five hundred fifty-six thousand, one hundred thirty-two".