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132761837 = 132785573
BaseRepresentation
bin1111110100111…
…00100011101101
3100020211000000002
413322130203231
5232441334322
621101314045
73201312515
oct772344355
9306730002
10132761837
1168a38a2a
1238565925
1321674900
14138bc845
15b9c6c92
hex7e9c8ed

132761837 has 6 divisors (see below), whose sum is σ = 143760042. Its totient is φ = 122549232.

The previous prime is 132761801. The next prime is 132761851. The reversal of 132761837 is 738167231.

It can be written as a sum of positive squares in 3 ways, for example, as 3575881 + 129185956 = 1891^2 + 11366^2 .

It is not a de Polignac number, because 132761837 - 28 = 132761581 is a prime.

It is a super-2 number, since 2×1327618372 = 35251410727229138, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132761837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132761897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 392618 + ... + 392955.

It is an arithmetic number, because the mean of its divisors is an integer number (23960007).

Almost surely, 2132761837 is an apocalyptic number.

It is an amenable number.

132761837 is a deficient number, since it is larger than the sum of its proper divisors (10998205).

132761837 is an equidigital number, since it uses as much as digits as its factorization.

132761837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785599 (or 785586 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 132761837 is about 11522.2322923989. The cubic root of 132761837 is about 510.1420045422.

The spelling of 132761837 in words is "one hundred thirty-two million, seven hundred sixty-one thousand, eight hundred thirty-seven".

Divisors: 1 13 169 785573 10212449 132761837