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132585153380 = 225431153133711
BaseRepresentation
bin111101101111010110…
…0001110001101100100
3110200020002100122101022
41323132230032031210
54133013244402010
6140524143550312
712402404131451
oct1733654161544
9420202318338
10132585153380
1151257954129
12218425bb398
13c66c649ba4
1465ba964828
1536aecaed55
hex1edeb0e364

132585153380 has 48 divisors (see below), whose sum is σ = 285153141504. Its totient is φ = 51755397120.

The previous prime is 132585153353. The next prime is 132585153403. The reversal of 132585153380 is 83351585231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924725 + ... + 1058435.

It is an arithmetic number, because the mean of its divisors is an integer number (5940690448).

Almost surely, 2132585153380 is an apocalyptic number.

132585153380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132585153380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142576570752).

132585153380 is an abundant number, since it is smaller than the sum of its proper divisors (152567988124).

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

132585153380 is a wasteful number, since it uses less digits than its factorization.

132585153380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134916 (or 134914 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 132585153380 in words is "one hundred thirty-two billion, five hundred eighty-five million, one hundred fifty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1153 2306 4612 5765 11530 23060 49579 99158 133711 198316 247895 267422 495790 534844 668555 991580 1337110 2674220 5749573 11499146 22998292 28747865 57495730 114991460 154168783 308337566 616675132 770843915 1541687830 3083375660 6629257669 13258515338 26517030676 33146288345 66292576690 132585153380