13536972 has 36 divisors (see below), whose sum is σ = 35708400. Its totient is φ = 4315872.

The previous prime is 13536967. The next prime is 13536973. The reversal of 13536972 is 27963531.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13536972² = 366499221857568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13536973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7347 + ... + 9002.

It is an arithmetic number, because the mean of its divisors is an integer number (991900).

Almost surely, 2^13536972 is an apocalyptic number.

13536972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13536972 is an abundant number, since it is smaller than the sum of its proper divisors (22171428).

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

13536972 is a wasteful number, since it uses less digits than its factorization.

13536972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16382 (or 16377 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13536972 is about 3679.2624260849. The cubic root of 13536972 is about 238.3273277810.

It can be divided in two parts, 135 and 36972, that multiplied together give a triangular number (4991220 = T₃₁₅₉).

The spelling of 13536972 in words is "thirteen million, five hundred thirty-six thousand, nine hundred seventy-two".