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132526144 = 2614392
BaseRepresentation
bin1111110011000…
…11000001000000
3100020101000200201
413321203001000
5232411314034
621052254544
73166311412
oct771430100
9306330621
10132526144
1168897943
1238471454
13215c154a
141385a9b2
15b97c014
hex7e63040

132526144 has 21 divisors (see below), whose sum is σ = 263164447. Its totient is φ = 66217024.

The previous prime is 132526139. The next prime is 132526157. The reversal of 132526144 is 441625231.

The square root of 132526144 is 11512.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 91377 + ... + 92815.

Almost surely, 2132526144 is an apocalyptic number.

132526144 is the 11512-nd square number.

It is an amenable number.

132526144 is a deficient number, since it is larger than the sum of its proper divisors (130638303).

132526144 is an frugal number, since it uses more digits than its factorization.

132526144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 1441 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The cubic root of 132526144 is about 509.8399395188.

It can be divided in two parts, 1 and 32526144, that added together give a triangular number (32526145 = T8065).

The spelling of 132526144 in words is "one hundred thirty-two million, five hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 1439 2878 5756 11512 23024 46048 92096 2070721 4141442 8282884 16565768 33131536 66263072 132526144