152033536 has 36 divisors (see below), whose sum is σ = 304435404. Its totient is φ = 75776000.

The previous prime is 152033513. The next prime is 152033537. The reversal of 152033536 is 635330251.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 32262400 = 10944^2 + 5680^2 .

It is a super-2 number, since 2×152033536² = 46228392137326592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152033537) 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 3 ways as a sum of consecutive naturals, for example, 101916 + ... + 103396.

It is an arithmetic number, because the mean of its divisors is an integer number (8456539).

Almost surely, 2^152033536 is an apocalyptic number.

152033536 is a gapful number since it is divisible by the number (16) 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 152033536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152217702).

152033536 is an abundant number, since it is smaller than the sum of its proper divisors (152401868).

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

152033536 is an equidigital number, since it uses as much as digits as its factorization.

152033536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 152033536 is about 12330.1879953227. The cubic root of 152033536 is about 533.7195757695.

Adding to 152033536 its reverse (635330251), we get a palindrome (787363787).

The spelling of 152033536 in words is "one hundred fifty-two million, thirty-three thousand, five hundred thirty-six".