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132134144 = 284112589
BaseRepresentation
bin1111110000000…
…11010100000000
3100012122002222012
413320003110000
5232311243034
621040032052
73163056512
oct770032400
9305562865
10132134144
116864a37a
1238302628
13214b4cac
1413797bb2
15b900cce
hex7e03500

132134144 has 36 divisors (see below), whose sum is σ = 270206580. Its totient is φ = 64450560.

The previous prime is 132134137. The next prime is 132134201. The reversal of 132134144 is 441431231.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 123654400 = 2912^2 + 11120^2 .

It is a super-2 number, since 2×1321341442 = 34918864021225472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4202 + ... + 16790.

Almost surely, 2132134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135103290).

132134144 is an abundant number, since it is smaller than the sum of its proper divisors (138072436).

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

132134144 is an equidigital number, since it uses as much as digits as its factorization.

132134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12646 (or 12632 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 132134144 is about 11494.9616789270. The cubic root of 132134144 is about 509.3367567058.

Adding to 132134144 its reverse (441431231), we get a palindrome (573565375).

The spelling of 132134144 in words is "one hundred thirty-two million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 10496 12589 25178 50356 100712 201424 402848 516149 805696 1032298 1611392 2064596 3222784 4129192 8258384 16516768 33033536 66067072 132134144