155316 has 36 divisors (see below), whose sum is σ = 424032. Its totient is φ = 43344.

The previous prime is 155303. The next prime is 155317. The reversal of 155316 is 613551.

It is a happy number.

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

It is an Ulam number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 155292 and 155301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155317) by changing a digit.

155316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3591 + ... + 3633.

2^{155316} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212016).

155316 is an abundant number, since it is smaller than the sum of its proper divisors (268716).

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

155316 is a wasteful number, since it uses less digits than its factorization.

155316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 55 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 155316 is about 394.1015097662. The cubic root of 155316 is about 53.7533331266.

Multiplying 155316 by its sum of digits (21), we get a square (3261636 = 1806^{2}).

155316 divided by its sum of digits (21) gives a square (7396 = 86^{2}).

Adding to 155316 its reverse (613551), we get a palindrome (768867).

The spelling of 155316 in words is "one hundred fifty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 1849 3612 3698 5547 7396 11094 12943 22188 25886 38829 51772 77658 155316

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