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132118000 = 245379437
BaseRepresentation
bin1111101111111…
…11010111110000
3100012121021211021
413313333113300
5232310234000
621035425224
73162661450
oct767772760
9305537737
10132118000
1168639233
12382b5214
13214aa841
1413791d60
15b8eb11a
hex7dff5f0

132118000 has 80 divisors (see below), whose sum is σ = 365137344. Its totient is φ = 45292800.

The previous prime is 132117991. The next prime is 132118013. The reversal of 132118000 is 811231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 9282 + ... + 18718.

Almost surely, 2132118000 is an apocalyptic number.

132118000 is a gapful number since it is divisible by the number (10) 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 132118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182568672).

132118000 is an abundant number, since it is smaller than the sum of its proper divisors (233019344).

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

132118000 is an equidigital number, since it uses as much as digits as its factorization.

132118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 132118000 is about 11494.2594367797. The cubic root of 132118000 is about 509.3160124650.

Adding to 132118000 its reverse (811231), we get a palindrome (132929231).

It can be divided in two parts, 1321 and 18000, that added together give a square (19321 = 1392).

The spelling of 132118000 in words is "one hundred thirty-two million, one hundred eighteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 9437 14000 18874 37748 47185 66059 75496 94370 132118 150992 188740 235925 264236 330295 377480 471850 528472 660590 754960 943700 1056944 1179625 1321180 1651475 1887400 2359250 2642360 3302950 3774800 4718500 5284720 6605900 8257375 9437000 13211800 16514750 18874000 26423600 33029500 66059000 132118000