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132537499249 = 53268692
BaseRepresentation
bin111101101101111011…
…0011011111001110001
3110200002202200120012111
41323123312123321301
54132414044433444
6140515322325321
712401255104231
oct1733366337161
9420082616174
10132537499249
1151232a65951
122182a659841
13c66280348c
1465b44bbcc1
1536aa9ea234
hex1edbd9be71

132537499249 has 9 divisors (see below), whose sum is σ = 135105058753. Its totient is φ = 130017860752.

The previous prime is 132537499223. The next prime is 132537499261. The reversal of 132537499249 is 942994735231.

It is a happy number.

The square root of 132537499249 is 364057.

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 23748351025 + 108789148224 = 154105^2 + 329832^2 .

It is not a de Polignac number, because 132537499249 - 27 = 132537499121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132537499193 and 132537499202.

It is not an unprimeable number, because it can be changed into a prime (132537499649) 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, 19291587 + ... + 19298455.

Almost surely, 2132537499249 is an apocalyptic number.

132537499249 is the 364057-th square number.

132537499249 is the 182029-th centered octagonal number.

It is an amenable number.

132537499249 is a deficient number, since it is larger than the sum of its proper divisors (2567559504).

132537499249 is an frugal number, since it uses more digits than its factorization.

132537499249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844 (or 6922 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 58.

The spelling of 132537499249 in words is "one hundred thirty-two billion, five hundred thirty-seven million, four hundred ninety-nine thousand, two hundred forty-nine".

Divisors: 1 53 2809 6869 364057 19295021 47183161 2500707533 132537499249