13945536 has 168 divisors, whose sum is σ = 45646848. Its totient is φ = 4032000.

The previous prime is 13945531. The next prime is 13945537. The reversal of 13945536 is 63554931.

13945536 is a `hidden beast` number, since 13 + 94 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13945536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196381 + ... + 196451.

Almost surely, 2^13945536 is an apocalyptic number.

13945536 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 13945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424).

13945536 is an abundant number, since it is smaller than the sum of its proper divisors (31701312).

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

13945536 is a wasteful number, since it uses less digits than its factorization.

13945536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 13945536 is about 3734.3722364007. The cubic root of 13945536 is about 240.7012821845.

It can be divided in two parts, 13 and 945536, that added together give a palindrome (945549).

The spelling of 13945536 in words is "thirteen million, nine hundred forty-five thousand, five hundred thirty-six".