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132148672 = 265979443
BaseRepresentation
bin1111110000001…
…10110111000000
3100012122211220021
413320012313000
5232312224142
621040223224
73163150045
oct770066700
9305584807
10132148672
116865a287
123830ab14
13214bb7a6
141379d1cc
15b905267
hex7e06dc0

132148672 has 56 divisors (see below), whose sum is σ = 270662400. Its totient is φ = 63987456.

The previous prime is 132148669. The next prime is 132148697. The reversal of 132148672 is 276841231.

It is a super-2 number, since 2×1321486722 = 34926543022727168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298083 + ... + 298525.

Almost surely, 2132148672 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 132148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331200).

132148672 is an abundant number, since it is smaller than the sum of its proper divisors (138513728).

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

132148672 is an equidigital number, since it uses as much as digits as its factorization.

132148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 132148672 is about 11495.5935905894. The cubic root of 132148672 is about 509.3554230222.

The spelling of 132148672 in words is "one hundred thirty-two million, one hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 59 64 79 118 158 236 316 443 472 632 886 944 1264 1772 1888 2528 3544 3776 4661 5056 7088 9322 14176 18644 26137 28352 34997 37288 52274 69994 74576 104548 139988 149152 209096 279976 298304 418192 559952 836384 1119904 1672768 2064823 2239808 4129646 8259292 16518584 33037168 66074336 132148672