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132837133 = 111317531031
BaseRepresentation
bin1111110101011…
…10111100001101
3100020221211021211
413322232330031
5233001242013
621103054421
73202045162
oct772567415
9306854254
10132837133
1168a8a560
12385a1411
132169cc70
14138dc069
15b9de23d
hex7eaef0d

132837133 has 32 divisors (see below), whose sum is σ = 168521472. Its totient is φ = 102835200.

The previous prime is 132837127. The next prime is 132837137. The reversal of 132837133 is 331738231.

It is not a de Polignac number, because 132837133 - 29 = 132836621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132837095 and 132837104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132837137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128328 + ... + 129358.

It is an arithmetic number, because the mean of its divisors is an integer number (5266296).

Almost surely, 2132837133 is an apocalyptic number.

132837133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132837133 is a deficient number, since it is larger than the sum of its proper divisors (35684339).

132837133 is a wasteful number, since it uses less digits than its factorization.

132837133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125.

The product of its digits is 9072, while the sum is 31.

The square root of 132837133 is about 11525.4992516593. The cubic root of 132837133 is about 510.2384288204.

The spelling of 132837133 in words is "one hundred thirty-two million, eight hundred thirty-seven thousand, one hundred thirty-three".

Divisors: 1 11 13 17 53 143 187 221 583 689 901 1031 2431 7579 9911 11341 11713 13403 17527 54643 128843 147433 192797 227851 601073 710359 928931 2506361 7813949 10218241 12076103 132837133