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132457081 = 1726772
BaseRepresentation
bin1111110010100…
…10001001111001
3100020020111221211
413321102021321
5232402111311
621051003121
73165603151
oct771221171
9306214854
10132457081
116884aa69
12384394a1
1321598c93
141383d761
15b966821
hex7e52279

132457081 has 9 divisors (see below), whose sum is σ = 140915149. Its totient is φ = 124481344.

The previous prime is 132457051. The next prime is 132457093. The reversal of 132457081 is 180754231.

The square root of 132457081 is 11509.

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

It can be written as a sum of positive squares in 4 ways, for example, as 94264681 + 38192400 = 9709^2 + 6180^2 .

It is not a de Polignac number, because 132457081 - 27 = 132456953 is a prime.

It is a super-2 number, since 2×1324570812 = 35089756614081122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132457051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 195315 + ... + 195991.

Almost surely, 2132457081 is an apocalyptic number.

132457081 is the 11509-th square number.

132457081 is the 5755-th centered octagonal number.

It is an amenable number.

132457081 is a deficient number, since it is larger than the sum of its proper divisors (8458068).

132457081 is an frugal number, since it uses more digits than its factorization.

132457081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 132457081 is about 509.7513602821.

The spelling of 132457081 in words is "one hundred thirty-two million, four hundred fifty-seven thousand, eighty-one".

Divisors: 1 17 289 677 11509 195653 458329 7791593 132457081