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156156 = 223711132
BaseRepresentation
bin100110000111111100
321221012120
4212013330
514444111
63202540
71220160
oct460774
9257176
10156156
11a7360
1276450
1356100
1440ca0
1531406
hex261fc

156156 has 72 divisors (see below), whose sum is σ = 491904. Its totient is φ = 37440.

The previous prime is 156151. The next prime is 156157. The reversal of 156156 is 651651.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

Its product of digits (900) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 156156.

It is not an unprimeable number, because it can be changed into a prime (156151) by changing a digit.

156156 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 23 ways as a sum of consecutive naturals, for example, 12006 + ... + 12018.

It is an arithmetic number, because the mean of its divisors is an integer number (6832).

2156156 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 156156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245952).

156156 is an abundant number, since it is smaller than the sum of its proper divisors (335748).

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

156156 is a wasteful number, since it uses less digits than its factorization.

156156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 36 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 156156 is about 395.1657879928. The cubic root of 156156 is about 53.8500641849.

The spelling of 156156 in words is "one hundred fifty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 169 182 231 273 286 308 338 364 429 462 507 546 572 676 858 924 1001 1014 1092 1183 1716 1859 2002 2028 2366 3003 3549 3718 4004 4732 5577 6006 7098 7436 11154 12012 13013 14196 22308 26026 39039 52052 78078 156156