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132136704 = 283372731
BaseRepresentation
bin1111110000000…
…11111100000000
3100012122020111000
413320003330000
5232311333304
621040052000
73163100130
oct770037400
9305566430
10132136704
1168651297
1238304000
13214b61cb
1413798ac0
15b901939
hex7e03f00

132136704 has 144 divisors (see below), whose sum is σ = 446736640. Its totient is φ = 37739520.

The previous prime is 132136681. The next prime is 132136709. The reversal of 132136704 is 407631231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132136709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47019 + ... + 49749.

Almost surely, 2132136704 is an apocalyptic number.

132136704 is a gapful number since it is divisible by the number (14) 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 132136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223368320).

132136704 is an abundant number, since it is smaller than the sum of its proper divisors (314599936).

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

132136704 is an equidigital number, since it uses as much as digits as its factorization.

132136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 132136704 is about 11495.0730315209. The cubic root of 132136704 is about 509.3400460238.

Adding to 132136704 its reverse (407631231), we get a palindrome (539767935).

It can be divided in two parts, 1321 and 36704, that added together give a square (38025 = 1952).

The spelling of 132136704 in words is "one hundred thirty-two million, one hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 2731 3024 3456 4032 5376 5462 6048 6912 8064 8193 10924 12096 16128 16386 19117 21848 24192 24579 32772 38234 43696 48384 49158 57351 65544 73737 76468 87392 98316 114702 131088 147474 152936 172053 174784 196632 229404 262176 294948 305872 344106 349568 393264 458808 516159 524352 589896 611744 688212 699136 786528 917616 1032318 1048704 1179792 1223488 1376424 1573056 1835232 2064636 2097408 2359584 2446976 2752848 3146112 3670464 4129272 4719168 4893952 5505696 6292224 7340928 8258544 9438336 11011392 14681856 16517088 18876672 22022784 33034176 44045568 66068352 132136704