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135145176 = 233191092719
BaseRepresentation
bin10000000111000…
…10011011011000
3100102022002022220
420003202123120
5234044121201
621224344040
73230500155
oct1003423330
9312262286
10135145176
116a316631
1239315020
1321cca67a
1413d3d22c
15bce8036
hex80e26d8

135145176 has 64 divisors (see below), whose sum is σ = 359040000. Its totient is φ = 42270336.

The previous prime is 135145159. The next prime is 135145187. The reversal of 135145176 is 671541531.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48345 + ... + 51063.

It is an arithmetic number, because the mean of its divisors is an integer number (5610000).

Almost surely, 2135145176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135145176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179520000).

135145176 is an abundant number, since it is smaller than the sum of its proper divisors (223894824).

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

135145176 is a wasteful number, since it uses less digits than its factorization.

135145176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 135145176 is about 11625.1957402876. The cubic root of 135145176 is about 513.1766051397.

The spelling of 135145176 in words is "one hundred thirty-five million, one hundred forty-five thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 109 114 152 218 228 327 436 456 654 872 1308 2071 2616 2719 4142 5438 6213 8157 8284 10876 12426 16314 16568 21752 24852 32628 49704 51661 65256 103322 154983 206644 296371 309966 413288 592742 619932 889113 1185484 1239864 1778226 2370968 3556452 5631049 7112904 11262098 16893147 22524196 33786294 45048392 67572588 135145176