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132134300 = 225253107233
BaseRepresentation
bin1111110000000…
…11010110011100
3100012122010011222
413320003112130
5232311244200
621040032512
73163060124
oct770032634
9305563158
10132134300
116864a501
1238302738
13214b509c
1413797c84
15b900d85
hex7e0359c

132134300 has 72 divisors (see below), whose sum is σ = 296137296. Its totient is φ = 51151360.

The previous prime is 132134293. The next prime is 132134311. The reversal of 132134300 is 3431231.

It is a happy number.

132134300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566984 + ... + 567216.

It is an arithmetic number, because the mean of its divisors is an integer number (4113018).

Almost surely, 2132134300 is an apocalyptic number.

132134300 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 132134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148068648).

132134300 is an abundant number, since it is smaller than the sum of its proper divisors (164002996).

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

132134300 is a wasteful number, since it uses less digits than its factorization.

132134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132134300 is about 11494.9684645065. The cubic root of 132134300 is about 509.3369571498.

Adding to 132134300 its reverse (3431231), we get a palindrome (135565531).

The spelling of 132134300 in words is "one hundred thirty-two million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 107 212 214 233 265 428 466 530 535 932 1060 1070 1165 1325 2140 2330 2650 2675 4660 5300 5350 5671 5825 10700 11342 11650 12349 22684 23300 24698 24931 28355 49396 49862 56710 61745 99724 113420 123490 124655 141775 246980 249310 283550 308725 498620 567100 617450 623275 1234900 1246550 1321343 2493100 2642686 5285372 6606715 13213430 26426860 33033575 66067150 132134300