13501152 has 144 divisors (see below), whose sum is σ = 45313632. Its totient is φ = 3732480.

The previous prime is 13501141. The next prime is 13501193. The reversal of 13501152 is 25110531.

13501152 is a `hidden beast` number, since 13 + 501 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13501152² = 364562210654208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74502 + ... + 74682.

It is an arithmetic number, because the mean of its divisors is an integer number (314678).

Almost surely, 2^13501152 is an apocalyptic number.

13501152 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 13501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22656816).

13501152 is an abundant number, since it is smaller than the sum of its proper divisors (31812480).

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

13501152 is a wasteful number, since it uses less digits than its factorization.

13501152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 13501152 is about 3674.3913781741. The cubic root of 13501152 is about 238.1169305137.

Adding to 13501152 its reverse (25110531), we get a palindrome (38611683).

The spelling of 13501152 in words is "thirteen million, five hundred one thousand, one hundred fifty-two".