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125172 = 22331961
BaseRepresentation
bin11110100011110100
320100201000
4132203310
513001142
62403300
71030635
oct364364
9210630
10125172
1186053
1260530
1344c88
143388c
152714c
hex1e8f4

125172 has 48 divisors (see below), whose sum is σ = 347200. Its totient is φ = 38880.

The previous prime is 125149. The next prime is 125183. The reversal of 125172 is 271521.

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

It is a plaindrome in base 14.

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 125172.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2022 + ... + 2082.

2125172 is an apocalyptic number.

125172 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 125172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173600).

125172 is an abundant number, since it is smaller than the sum of its proper divisors (222028).

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

125172 is a wasteful number, since it uses less digits than its factorization.

125172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 125172 is about 353.7965517073. The cubic root of 125172 is about 50.0229228226.

Adding to 125172 its reverse (271521), we get a palindrome (396693).

It can be divided in two parts, 12 and 5172, that added together give a square (5184 = 722).

The spelling of 125172 in words is "one hundred twenty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 108 114 122 171 183 228 244 342 366 513 549 684 732 1026 1098 1159 1647 2052 2196 2318 3294 3477 4636 6588 6954 10431 13908 20862 31293 41724 62586 125172