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132875648 = 277114621
BaseRepresentation
bin1111110101110…
…00010110000000
3100021000210010022
413322320112000
5233004010043
621103553012
73202265363
oct772702600
9307023108
10132875648
1169006494
12385bb768
13216b4659
141390c0da
15b9ea868
hex7eb8580

132875648 has 32 divisors (see below), whose sum is σ = 268459920. Its totient is φ = 65497600.

The previous prime is 132875609. The next prime is 132875693. The reversal of 132875648 is 846578231.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 132875599 and 132875608.

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 3 ways as a sum of consecutive naturals, for example, 1778 + ... + 16398.

Almost surely, 2132875648 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 132875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134229960).

132875648 is an abundant number, since it is smaller than the sum of its proper divisors (135584272).

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

132875648 is an equidigital number, since it uses as much as digits as its factorization.

132875648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14706 (or 14694 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 132875648 is about 11527.1699909388. The cubic root of 132875648 is about 510.2877371567.

The spelling of 132875648 in words is "one hundred thirty-two million, eight hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 9088 14621 29242 58484 116968 233936 467872 935744 1038091 1871488 2076182 4152364 8304728 16609456 33218912 66437824 132875648