153612 has 36 divisors (see below), whose sum is σ = 412776. Its totient is φ = 48000.

The previous prime is 153611. The next prime is 153623. The reversal of 153612 is 216351.

153612 is a `hidden beast` number, since 1 + 53 + 612 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (153611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2¹⁵³⁶¹² is an apocalyptic number.

153612 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 153612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

153612 is an abundant number, since it is smaller than the sum of its proper divisors (259164).

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

153612 is a wasteful number, since it uses less digits than its factorization.

153612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 153612 is about 391.9336678572. The cubic root of 153612 is about 53.5560306222.

Adding to 153612 its reverse (216351), we get a palindrome (369963).

It can be divided in two parts, 153 and 612, that multiplied together give a square (93636 = 306²).

The spelling of 153612 in words is "one hundred fifty-three thousand, six hundred twelve".