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132134200 = 235211173533
BaseRepresentation
bin1111110000000…
…11010100111000
3100012122010001021
413320003110320
5232311243300
621040032224
73163056622
oct770032470
9305563037
10132134200
116864a420
1238302674
13214b5023
1413797c12
15b900d1a
hex7e03538

132134200 has 96 divisors (see below), whose sum is σ = 354954960. Its totient is φ = 45209600.

The previous prime is 132134137. The next prime is 132134201. The reversal of 132134200 is 2431231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132134201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35634 + ... + 39166.

Almost surely, 2132134200 is an apocalyptic number.

132134200 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 132134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177477480).

132134200 is an abundant number, since it is smaller than the sum of its proper divisors (222820760).

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

132134200 is a wasteful number, since it uses less digits than its factorization.

132134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132134200 is about 11494.9641147765. The cubic root of 132134200 is about 509.3368286600.

Adding to 132134200 its reverse (2431231), we get a palindrome (134565431).

The spelling of 132134200 in words is "one hundred thirty-two million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3533 3740 4675 7066 7480 9350 14132 17665 18700 28264 35330 37400 38863 60061 70660 77726 88325 120122 141320 155452 176650 194315 240244 300305 310904 353300 388630 480488 600610 660671 706600 777260 971575 1201220 1321342 1501525 1554520 1943150 2402440 2642684 3003050 3303355 3886300 5285368 6006100 6606710 7772600 12012200 13213420 16516775 26426840 33033550 66067100 132134200