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132112152 = 233216311257
BaseRepresentation
bin1111101111111…
…01111100011000
3100012120222210200
413313331330120
5232310042102
621035342200
73162635424
oct767757430
9305528720
10132112152
11686348a7
12382b1960
13214a7c93
141378db84
15b8e951c
hex7dfdf18

132112152 has 48 divisors (see below), whose sum is σ = 360030840. Its totient is φ = 43763328.

The previous prime is 132112147. The next prime is 132112171. The reversal of 132112152 is 251211231.

It is a super-2 number, since 2×1321121522 = 34907241412142208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6108 + ... + 17364.

Almost surely, 2132112152 is an apocalyptic number.

132112152 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 132112152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180015420).

132112152 is an abundant number, since it is smaller than the sum of its proper divisors (227918688).

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

132112152 is a wasteful number, since it uses less digits than its factorization.

132112152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432 (or 11425 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 132112152 is about 11494.0050461099. The cubic root of 132112152 is about 509.3084976575.

Adding to 132112152 its reverse (251211231), we get a palindrome (383323383).

The spelling of 132112152 in words is "one hundred thirty-two million, one hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 11257 11736 22514 33771 45028 67542 90056 101313 135084 202626 270168 405252 810504 1834891 3669782 5504673 7339564 11009346 14679128 16514019 22018692 33028038 44037384 66056076 132112152