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135011541 = 37233171127
BaseRepresentation
bin10000000110000…
…01110011010101
3100102001022000110
420003001303111
5234030332131
621221433233
73226402440
oct1003016325
9312038013
10135011541
116a235195
123926b819
1321c818b2
1413d06657
15bcbd646
hex80c1cd5

135011541 has 64 divisors (see below), whose sum is σ = 226492416. Its totient is φ = 69854400.

The previous prime is 135011537. The next prime is 135011543. The reversal of 135011541 is 145110531.

It is a happy number.

It is not a de Polignac number, because 135011541 - 22 = 135011537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135011543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063020 + ... + 1063146.

It is an arithmetic number, because the mean of its divisors is an integer number (3538944).

Almost surely, 2135011541 is an apocalyptic number.

It is an amenable number.

135011541 is a deficient number, since it is larger than the sum of its proper divisors (91480875).

135011541 is a wasteful number, since it uses less digits than its factorization.

135011541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 135011541 is about 11619.4466735727. The cubic root of 135011541 is about 513.0074019808.

The spelling of 135011541 in words is "one hundred thirty-five million, eleven thousand, five hundred forty-one".

Divisors: 1 3 7 21 23 31 69 71 93 127 161 213 217 381 483 497 651 713 889 1491 1633 2139 2201 2667 2921 3937 4899 4991 6603 8763 9017 11431 11811 14973 15407 20447 27051 27559 34293 46221 50623 61341 63119 82677 90551 151869 189357 207391 271653 279527 354361 622173 633857 838581 1063083 1451737 1901571 1956689 4355211 5870067 6429121 19287363 45003847 135011541