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132748231 = 71119312927
BaseRepresentation
bin1111110100110…
…01001111000111
3100020210022100011
413322121033013
5232440420411
621101131051
73201225040
oct772311707
9306708304
10132748231
1168a29790
1238559a87
132166b665
14138b78c7
15b9c2c21
hex7e993c7

132748231 has 32 divisors (see below), whose sum is σ = 179896320. Its totient is φ = 94802400.

The previous prime is 132748229. The next prime is 132748241. The reversal of 132748231 is 132847231.

It is not a de Polignac number, because 132748231 - 21 = 132748229 is a prime.

It is a super-2 number, since 2×1327482312 = 35244185667258722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132748193 and 132748202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132748241) 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 31 ways as a sum of consecutive naturals, for example, 43890 + ... + 46816.

It is an arithmetic number, because the mean of its divisors is an integer number (5621760).

Almost surely, 2132748231 is an apocalyptic number.

132748231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132748231 is a deficient number, since it is larger than the sum of its proper divisors (47148089).

132748231 is a wasteful number, since it uses less digits than its factorization.

132748231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995.

The product of its digits is 8064, while the sum is 31.

The square root of 132748231 is about 11521.6418534860. The cubic root of 132748231 is about 510.1245767697.

132748231 divided by its sum of digits (31) gives a triangular number (4282201 = T2926).

The spelling of 132748231 in words is "one hundred thirty-two million, seven hundred forty-eight thousand, two hundred thirty-one".

Divisors: 1 7 11 19 31 77 133 209 217 341 589 1463 2387 2927 4123 6479 20489 32197 45353 55613 90737 225379 389291 611743 635159 998107 1724003 4282201 6986749 12068021 18964033 132748231