Search a number
-
+
132753536 = 271037137
BaseRepresentation
bin1111110100110…
…10100010000000
3100020210120121122
413322122202000
5232441103121
621101211412
73201246356
oct772324200
9306716548
10132753536
1168a32773
1238560b68
1321670bb6
14138b97d6
15b9c45ab
hex7e9a880

132753536 has 16 divisors (see below), whose sum is σ = 264470190. Its totient is φ = 66376704.

The previous prime is 132753443. The next prime is 132753547. The reversal of 132753536 is 635357231.

It is a happy number.

132753536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109327936 + 23425600 = 10456^2 + 4840^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 132753496 and 132753505.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518441 + ... + 518696.

Almost surely, 2132753536 is an apocalyptic number.

132753536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132753536 is a deficient number, since it is larger than the sum of its proper divisors (131716654).

132753536 is an equidigital number, since it uses as much as digits as its factorization.

132753536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037151 (or 1037139 counting only the distinct ones).

The product of its digits is 56700, while the sum is 35.

The square root of 132753536 is about 11521.8720701108. The cubic root of 132753536 is about 510.1313720262.

The spelling of 132753536 in words is "one hundred thirty-two million, seven hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 1037137 2074274 4148548 8297096 16594192 33188384 66376768 132753536