153312 has 24 divisors (see below), whose sum is σ = 402696. Its totient is φ = 51072.

The previous prime is 153287. The next prime is 153313. The reversal of 153312 is 213351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 153291 and 153300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153313) 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, 703 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (16779).

2¹⁵³³¹² is an apocalyptic number.

153312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153312 is an abundant number, since it is smaller than the sum of its proper divisors (249384).

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

153312 is a wasteful number, since it uses less digits than its factorization.

153312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 153312 is about 391.5507629925. The cubic root of 153312 is about 53.5211434175.

Adding to 153312 its reverse (213351), we get a palindrome (366663).

It can be divided in two parts, 153 and 312, that added together give a triangular number (465 = T₃₀).

The spelling of 153312 in words is "one hundred fifty-three thousand, three hundred twelve".