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134888640 = 2635711979
BaseRepresentation
bin10000000101000…
…11110011000000
3100101211001102120
420002203303000
5234012414030
621215044240
73225351225
oct1002436300
9311731376
10134888640
116a160917
1239210680
1321c3a983
1413cb394c
15bc97010
hex80a3cc0

134888640 has 112 divisors (see below), whose sum is σ = 434522880. Its totient is φ = 35445760.

The previous prime is 134888623. The next prime is 134888641. The reversal of 134888640 is 46888431.

It is a junction number, because it is equal to n+sod(n) for n = 134888592 and 134888601.

It is not an unprimeable number, because it can be changed into a prime (134888641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67171 + ... + 69149.

Almost surely, 2134888640 is an apocalyptic number.

134888640 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 134888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217261440).

134888640 is an abundant number, since it is smaller than the sum of its proper divisors (299634240).

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

134888640 is a wasteful number, since it uses less digits than its factorization.

134888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 134888640 is about 11614.1568785685. The cubic root of 134888640 is about 512.8516911847.

The spelling of 134888640 in words is "one hundred thirty-four million, eight hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1704 1979 2130 2272 2840 3408 3958 4260 4544 5680 5937 6816 7916 8520 9895 11360 11874 13632 15832 17040 19790 22720 23748 29685 31664 34080 39580 47496 59370 63328 68160 79160 94992 118740 126656 140509 158320 189984 237480 281018 316640 379968 421527 474960 562036 633280 702545 843054 949920 1124072 1405090 1686108 1899840 2107635 2248144 2810180 3372216 4215270 4496288 5620360 6744432 8430540 8992576 11240720 13488864 16861080 22481440 26977728 33722160 44962880 67444320 134888640