152205312 has 96 divisors (see below), whose sum is σ = 463881600. Its totient is φ = 43474944.

The previous prime is 152205293. The next prime is 152205323. The reversal of 152205312 is 213502251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41239 + ... + 44777.

It is an arithmetic number, because the mean of its divisors is an integer number (4832100).

Almost surely, 2^152205312 is an apocalyptic number.

152205312 is a gapful number since it is divisible by the number (12) 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 152205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231940800).

152205312 is an abundant number, since it is smaller than the sum of its proper divisors (311676288).

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

152205312 is an equidigital number, since it uses as much as digits as its factorization.

152205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 152205312 is about 12337.1516972112. The cubic root of 152205312 is about 533.9205088650.

Adding to 152205312 its reverse (213502251), we get a palindrome (365707563).

The spelling of 152205312 in words is "one hundred fifty-two million, two hundred five thousand, three hundred twelve".