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134952180 = 223511732801
BaseRepresentation
bin10000000101100…
…11010011110100
3100101221021120220
420002303103310
5234021432210
621220254340
73226034406
oct1002632364
9311837526
10134952180
116a1a4630
12392413b0
1321c6087c
1413cccb76
15bcaac70
hex80b34f4

134952180 has 96 divisors (see below), whose sum is σ = 418013568. Its totient is φ = 32256000.

The previous prime is 134952179. The next prime is 134952203. The reversal of 134952180 is 81259431.

134952180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46780 + ... + 49580.

It is an arithmetic number, because the mean of its divisors is an integer number (4354308).

Almost surely, 2134952180 is an apocalyptic number.

134952180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134952180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209006784).

134952180 is an abundant number, since it is smaller than the sum of its proper divisors (283061388).

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

134952180 is a wasteful number, since it uses less digits than its factorization.

134952180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 134952180 is about 11616.8920112051. The cubic root of 134952180 is about 512.9322057017.

The spelling of 134952180 in words is "one hundred thirty-four million, nine hundred fifty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 73 110 132 146 165 219 220 292 330 365 438 660 730 803 876 1095 1460 1606 2190 2409 2801 3212 4015 4380 4818 5602 8030 8403 9636 11204 12045 14005 16060 16806 24090 28010 30811 33612 42015 48180 56020 61622 84030 92433 123244 154055 168060 184866 204473 308110 369732 408946 462165 613419 616220 817892 924330 1022365 1226838 1848660 2044730 2249203 2453676 3067095 4089460 4498406 6134190 6747609 8996812 11246015 12268380 13495218 22492030 26990436 33738045 44984060 67476090 134952180