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134015200 = 25521197157
BaseRepresentation
bin1111111110011…
…10100011100000
3100100011200021221
413333032203200
5233301441300
621144224424
73215052604
oct777164340
9310150257
10134015200
1169714670
1238a6b114
13219c3247
1413b27504
15bb7331a
hex7fce8e0

134015200 has 144 divisors (see below), whose sum is σ = 362883024. Its totient is φ = 47923200.

The previous prime is 134015171. The next prime is 134015207. The reversal of 134015200 is 2510431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134015207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853522 + ... + 853678.

It is an arithmetic number, because the mean of its divisors is an integer number (2520021).

Almost surely, 2134015200 is an apocalyptic number.

134015200 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 134015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181441512).

134015200 is an abundant number, since it is smaller than the sum of its proper divisors (228867824).

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

134015200 is a wasteful number, since it uses less digits than its factorization.

134015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 134015200 is about 11576.4934241764. The cubic root of 134015200 is about 511.7423426898.

Adding to 134015200 its reverse (2510431), we get a palindrome (136525631).

The spelling of 134015200 in words is "one hundred thirty-four million, fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 97 100 110 157 160 176 194 200 220 275 314 352 388 400 440 485 550 628 776 785 800 880 970 1067 1100 1256 1552 1570 1727 1760 1940 2134 2200 2425 2512 3104 3140 3454 3880 3925 4268 4400 4850 5024 5335 6280 6908 7760 7850 8536 8635 8800 9700 10670 12560 13816 15229 15520 15700 17072 17270 19400 21340 25120 26675 27632 30458 31400 34144 34540 38800 42680 43175 53350 55264 60916 62800 69080 76145 77600 85360 86350 106700 121832 125600 138160 152290 167519 170720 172700 213400 243664 276320 304580 335038 345400 380725 426800 487328 609160 670076 690800 761450 837595 853600 1218320 1340152 1381600 1522900 1675190 2436640 2680304 3045800 3350380 4187975 5360608 6091600 6700760 8375950 12183200 13401520 16751900 26803040 33503800 67007600 134015200