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134757480 = 233511137853
BaseRepresentation
bin10000000100000…
…11110001101000
3100101120101111210
420002003301220
5233444214410
621212153120
73224263644
oct1002036150
9311511453
10134757480
116a081320
12391687a0
1321bc3070
1413c7bc24
15bc6d220
hex8083c68

134757480 has 128 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 30151680.

The previous prime is 134757451. The next prime is 134757517. The reversal of 134757480 is 84757431.

It is a hoax number, since the sum of its digits (39) 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 (39).

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, 13234 + ... + 21086.

It is an arithmetic number, because the mean of its divisors is an integer number (3711015).

Almost surely, 2134757480 is an apocalyptic number.

134757480 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 134757480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

134757480 is an abundant number, since it is smaller than the sum of its proper divisors (340252440).

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

134757480 is a wasteful number, since it uses less digits than its factorization.

134757480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 134757480 is about 11608.5089481811. The cubic root of 134757480 is about 512.6854121917.

The spelling of 134757480 in words is "one hundred thirty-four million, seven hundred fifty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 7853 8580 15706 17160 23559 31412 39265 47118 62824 78530 86383 94236 102089 117795 157060 172766 188472 204178 235590 259149 306267 314120 345532 408356 431915 471180 510445 518298 612534 691064 816712 863830 942360 1020890 1036596 1122979 1225068 1295745 1531335 1727660 2041780 2073192 2245958 2450136 2591490 3062670 3368937 3455320 4083560 4491916 5182980 5614895 6125340 6737874 8983832 10365960 11229790 12250680 13475748 16844685 22459580 26951496 33689370 44919160 67378740 134757480