36685152 has 144 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 10126080.

The previous prime is 36685139. The next prime is 36685153. The reversal of 36685152 is 25158663.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36685153) 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, 62203 + ... + 62789.

It is an arithmetic number, because the mean of its divisors is an integer number (856128).

Almost surely, 2^36685152 is an apocalyptic number.

36685152 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 36685152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

36685152 is an abundant number, since it is smaller than the sum of its proper divisors (86597280).

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

36685152 is a wasteful number, since it uses less digits than its factorization.

36685152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 36685152 is about 6056.8268920285. The cubic root of 36685152 is about 332.2743172401.

The spelling of 36685152 in words is "thirty-six million, six hundred eighty-five thousand, one hundred fifty-two".