152133536 has 36 divisors (see below), whose sum is σ = 310251942. Its totient is φ = 73430784.

The previous prime is 152133503. The next prime is 152133547. The reversal of 152133536 is 635331251.

It can be written as a sum of positive squares in 3 ways, for example, as 145057936 + 7075600 = 12044^2 + 2660^2 .

It is a super-2 number, since 2×152133536² = 46289225551726592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 152133499 and 152133508.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24086 + ... + 29738.

Almost surely, 2^152133536 is an apocalyptic number.

152133536 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 152133536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155125971).

152133536 is an abundant number, since it is smaller than the sum of its proper divisors (158118406).

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

152133536 is an equidigital number, since it uses as much as digits as its factorization.

152133536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5684 counting only the distinct ones).

The product of its digits is 8100, while the sum is 29.

The square root of 152133536 is about 12334.2424169464. The cubic root of 152133536 is about 533.8365680715.

Adding to 152133536 its reverse (635331251), we get a palindrome (787464787).

The spelling of 152133536 in words is "one hundred fifty-two million, one hundred thirty-three thousand, five hundred thirty-six".