152801536 has 36 divisors (see below), whose sum is σ = 305833500. Its totient is φ = 76193792.

The previous prime is 152801531. The next prime is 152801557. The reversal of 152801536 is 635108251.

It can be written as a sum of positive squares in 2 ways, for example, as 84640000 + 68161536 = 9200^2 + 8256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152801498 and 152801507.

It is not an unprimeable number, because it can be changed into a prime (152801531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145140 + ... + 146188.

It is an arithmetic number, because the mean of its divisors is an integer number (8495375).

Almost surely, 2^152801536 is an apocalyptic number.

152801536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152801536 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

152801536 is an equidigital number, since it uses as much as digits as its factorization.

152801536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 152801536 is about 12361.2918418748. The cubic root of 152801536 is about 534.6167645861.

Adding to 152801536 its reverse (635108251), we get a palindrome (787909787).

The spelling of 152801536 in words is "one hundred fifty-two million, eight hundred one thousand, five hundred thirty-six".