36487152 has 160 divisors (see below), whose sum is σ = 115617600. Its totient is φ = 10948608.

The previous prime is 36487127. The next prime is 36487183. The reversal of 36487152 is 25178463.

36487152 is a `hidden beast` number, since 3 + 648 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×36487152² = 2662624522142208, which contains 22 as substring.

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).

Its product of digits (40320) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409924 + ... + 410012.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 2^36487152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36487152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57808800).

36487152 is an abundant number, since it is smaller than the sum of its proper divisors (79130448).

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

36487152 is a wasteful number, since it uses less digits than its factorization.

36487152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 36487152 is about 6040.4595851640. The cubic root of 36487152 is about 331.6754461228.

The spelling of 36487152 in words is "thirty-six million, four hundred eighty-seven thousand, one hundred fifty-two".