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132746445 = 34513191327
BaseRepresentation
bin1111110100110…
…00110011001101
3100020210012220000
413322120303031
5232440341240
621101114513
73201216606
oct772306315
9306705800
10132746445
1168a28407
1238558a39
132166a8c0
14138b6dad
15b9c2430
hex7e98ccd

132746445 has 80 divisors (see below), whose sum is σ = 269955840. Its totient is φ = 61865856.

The previous prime is 132746443. The next prime is 132746459. The reversal of 132746445 is 544647231.

132746445 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 4 + 644 + 5 = 666.

It is not a de Polignac number, because 132746445 - 21 = 132746443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132746441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99372 + ... + 100698.

It is an arithmetic number, because the mean of its divisors is an integer number (3374448).

Almost surely, 2132746445 is an apocalyptic number.

132746445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132746445 is an abundant number, since it is smaller than the sum of its proper divisors (137209395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132746445 is a wasteful number, since it uses less digits than its factorization.

132746445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1367 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 132746445 is about 11521.5643469105. The cubic root of 132746445 is about 510.1222890140.

The spelling of 132746445 in words is "one hundred thirty-two million, seven hundred forty-six thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 513 585 741 855 1053 1235 1327 1539 1755 2223 2565 3705 3981 5265 6635 6669 7695 11115 11943 17251 19905 20007 25213 33345 35829 51753 59715 75639 86255 100035 107487 126065 155259 179145 226917 258765 327769 378195 465777 537435 680751 776295 983307 1134585 1397331 1638845 2042253 2328885 2949921 3403755 4916535 6986655 8849763 10211265 14749605 26549289 44248815 132746445