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135012174 = 231143113421
BaseRepresentation
bin10000000110000…
…01111101001110
3100102001022212220
420003001331032
5234030342144
621221440210
73226404333
oct1003017516
9312038786
10135012174
116a235710
1239270066
1321c81c7b
1413d0698a
15bcbd919
hex80c1f4e

135012174 has 64 divisors (see below), whose sum is σ = 304812288. Its totient is φ = 39513600.

The previous prime is 135012173. The next prime is 135012179. The reversal of 135012174 is 471210531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135012173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320484 + ... + 320904.

It is an arithmetic number, because the mean of its divisors is an integer number (4762692).

Almost surely, 2135012174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135012174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152406144).

135012174 is an abundant number, since it is smaller than the sum of its proper divisors (169800114).

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

135012174 is a wasteful number, since it uses less digits than its factorization.

135012174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 135012174 is about 11619.4739123594. The cubic root of 135012174 is about 513.0082037226.

The spelling of 135012174 in words is "one hundred thirty-five million, twelve thousand, one hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 113 129 226 258 339 421 473 678 842 946 1243 1263 1419 2486 2526 2838 3729 4631 4859 7458 9262 9718 13893 14577 18103 27786 29154 36206 47573 53449 54309 95146 106898 108618 142719 160347 199133 285438 320694 398266 523303 597399 1046606 1194798 1569909 2045639 3139818 4091278 6136917 12273834 22502029 45004058 67506087 135012174