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134213400 = 233252173431
BaseRepresentation
bin1111111111111…
…10111100011000
3100100112202011200
413333332330120
5233324312100
621152354200
73216536466
oct777767430
9310482150
10134213400
116983a572
1238b45960
1321a62519
1413b79836
15bbb1e00
hex7ffef18

134213400 has 144 divisors (see below), whose sum is σ = 454390560. Its totient is φ = 35500800.

The previous prime is 134213399. The next prime is 134213411. The reversal of 134213400 is 4312431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311185 + ... + 311615.

It is an arithmetic number, because the mean of its divisors is an integer number (3155490).

Almost surely, 2134213400 is an apocalyptic number.

134213400 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 134213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227195280).

134213400 is an abundant number, since it is smaller than the sum of its proper divisors (320177160).

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

134213400 is a wasteful number, since it uses less digits than its factorization.

134213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134213400 is about 11585.0507120168. The cubic root of 134213400 is about 511.9944966043.

Adding to 134213400 its reverse (4312431), we get a palindrome (138525831).

The spelling of 134213400 in words is "one hundred thirty-four million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 173 180 200 225 300 346 360 431 450 519 600 692 862 865 900 1038 1293 1384 1557 1724 1730 1800 2076 2155 2586 2595 3114 3448 3460 3879 4152 4310 4325 5172 5190 6228 6465 6920 7758 7785 8620 8650 10344 10380 10775 12456 12930 12975 15516 15570 17240 17300 19395 20760 21550 25860 25950 31032 31140 32325 34600 38790 38925 43100 51720 51900 62280 64650 74563 77580 77850 86200 96975 103800 129300 149126 155160 155700 193950 223689 258600 298252 311400 372815 387900 447378 596504 671067 745630 775800 894756 1118445 1342134 1491260 1789512 1864075 2236890 2684268 2982520 3355335 3728150 4473780 5368536 5592225 6710670 7456300 8947560 11184450 13421340 14912600 16776675 22368900 26842680 33553350 44737800 67106700 134213400