36253152 has 144 divisors (see below), whose sum is σ = 116127648. Its totient is φ = 10644480.

The previous prime is 36253141. The next prime is 36253153. The reversal of 36253152 is 25135263.

36253152 is a `hidden beast` number, since 3 + 625 + 31 + 5 + 2 = 666.

36253152 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36253153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85902 + ... + 86322.

It is an arithmetic number, because the mean of its divisors is an integer number (806442).

Almost surely, 2^36253152 is an apocalyptic number.

36253152 is a gapful number since it is divisible by the number (32) 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 36253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58063824).

36253152 is an abundant number, since it is smaller than the sum of its proper divisors (79874496).

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

36253152 is a wasteful number, since it uses less digits than its factorization.

36253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 36253152 is about 6021.0590430588. The cubic root of 36253152 is about 330.9648895012.

The spelling of 36253152 in words is "thirty-six million, two hundred fifty-three thousand, one hundred fifty-two".