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135071154 = 232172931491
BaseRepresentation
bin10000000110100…
…00010110110010
3100102011022210100
420003100112302
5234034234104
621223013230
73230041311
oct1003202662
9312138710
10135071154
116a275a59
123929a216
1321ca2a7a
1413d20278
15bcd1139
hex80d05b2

135071154 has 96 divisors (see below), whose sum is σ = 331568640. Its totient is φ = 39513600.

The previous prime is 135071149. The next prime is 135071197. The reversal of 135071154 is 451170531.

135071154 is a `hidden beast` number, since 1 + 3 + 507 + 1 + 154 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274849 + ... + 275339.

It is an arithmetic number, because the mean of its divisors is an integer number (3453840).

Almost surely, 2135071154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135071154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165784320).

135071154 is an abundant number, since it is smaller than the sum of its proper divisors (196497486).

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

135071154 is a wasteful number, since it uses less digits than its factorization.

135071154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 135071154 is about 11622.0116158951. The cubic root of 135071154 is about 513.0828953055.

The spelling of 135071154 in words is "one hundred thirty-five million, seventy-one thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 29 31 34 51 58 62 87 93 102 153 174 186 261 279 306 491 493 522 527 558 899 982 986 1054 1473 1479 1581 1798 2697 2946 2958 3162 4419 4437 4743 5394 8091 8347 8838 8874 9486 14239 15221 15283 16182 16694 25041 28478 30442 30566 42717 45663 45849 50082 75123 85434 91326 91698 128151 136989 137547 150246 242063 256302 258757 273978 275094 441409 484126 517514 726189 776271 882818 1324227 1452378 1552542 2178567 2328813 2648454 3972681 4357134 4657626 7503953 7945362 15007906 22511859 45023718 67535577 135071154