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132134160 = 24351095051
BaseRepresentation
bin1111110000000…
…11010100010000
3100012122002222210
413320003110100
5232311243120
621040032120
73163056534
oct770032420
9305562883
10132134160
116864a394
1238302640
13214b4cc2
1413797bc4
15b900ce0
hex7e03510

132134160 has 80 divisors (see below), whose sum is σ = 413455680. Its totient is φ = 34905600.

The previous prime is 132134137. The next prime is 132134201. The reversal of 132134160 is 61431231.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23635 + ... + 28685.

It is an arithmetic number, because the mean of its divisors is an integer number (5168196).

Almost surely, 2132134160 is an apocalyptic number.

132134160 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 132134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206727840).

132134160 is an abundant number, since it is smaller than the sum of its proper divisors (281321520).

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

132134160 is a wasteful number, since it uses less digits than its factorization.

132134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 132134160 is about 11494.9623748841. The cubic root of 132134160 is about 509.3367772641.

Adding to 132134160 its reverse (61431231), we get a palindrome (193565391).

The spelling of 132134160 in words is "one hundred thirty-two million, one hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2180 2616 3270 4360 5051 5232 6540 8720 10102 13080 15153 20204 25255 26160 30306 40408 50510 60612 75765 80816 101020 121224 151530 202040 242448 303060 404080 550559 606120 1101118 1212240 1651677 2202236 2752795 3303354 4404472 5505590 6606708 8258385 8808944 11011180 13213416 16516770 22022360 26426832 33033540 44044720 66067080 132134160