36433152 has 180 divisors, whose sum is σ = 124651296. Its totient is φ = 10368000.

The previous prime is 36433147. The next prime is 36433171. The reversal of 36433152 is 25133463.

It is a happy number.

36433152 is a `hidden beast` number, since 3 + 643 + 3 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 145027 + ... + 145277.

Almost surely, 2^36433152 is an apocalyptic number.

36433152 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 36433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62325648).

36433152 is an abundant number, since it is smaller than the sum of its proper divisors (88218144).

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

36433152 is an equidigital number, since it uses as much as digits as its factorization.

36433152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 36433152 is about 6035.9880715588. The cubic root of 36433152 is about 331.5117417679.

It can be divided in two parts, 36433 and 152, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 36433152 in words is "thirty-six million, four hundred thirty-three thousand, one hundred fifty-two".