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135537536 = 275319979
BaseRepresentation
bin10000001010000…
…10001110000000
3100110001000112202
420011002032000
5234144200121
621241012332
73234023111
oct1005021600
9313030482
10135537536
116a5643a2
12394840a8
1322107134
1414002208
15bd7440b
hex8142380

135537536 has 32 divisors (see below), whose sum is σ = 275124600. Its totient is φ = 66486784.

The previous prime is 135537529. The next prime is 135537539. The reversal of 135537536 is 635735531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 135537536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135537539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3206 + ... + 16773.

Almost surely, 2135537536 is an apocalyptic number.

135537536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135537536 is an abundant number, since it is smaller than the sum of its proper divisors (139587064).

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

135537536 is an equidigital number, since it uses as much as digits as its factorization.

135537536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20046 (or 20034 counting only the distinct ones).

The product of its digits is 141750, while the sum is 38.

The square root of 135537536 is about 11642.0589244343. The cubic root of 135537536 is about 513.6727516692.

The spelling of 135537536 in words is "one hundred thirty-five million, five hundred thirty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 19979 39958 79916 159832 319664 639328 1058887 1278656 2117774 2557312 4235548 8471096 16942192 33884384 67768768 135537536