36133440 has 224 divisors, whose sum is σ = 138501120. Its totient is φ = 7796736.

The previous prime is 36133397. The next prime is 36133441. The reversal of 36133440 is 4433163.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36133440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36133441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127539 + ... + 127821.

Almost surely, 2^36133440 is an apocalyptic number.

36133440 is a gapful number since it is divisible by the number (30) 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 36133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69250560).

36133440 is an abundant number, since it is smaller than the sum of its proper divisors (102367680).

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

36133440 is a wasteful number, since it uses less digits than its factorization.

36133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 36133440 is about 6011.1097145203. The cubic root of 36133440 is about 330.6001933092.

The spelling of 36133440 in words is "thirty-six million, one hundred thirty-three thousand, four hundred forty".