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135376500 = 22353712893
BaseRepresentation
bin10000001000110…
…10111001110100
3100102201211122110
420010122321310
5234124022000
621233331020
73232452450
oct1004327164
9312654573
10135376500
116a464406
1239406a70
132207ba4c
1413d9d660
15bd41850
hex811ae74

135376500 has 96 divisors (see below), whose sum is σ = 450567936. Its totient is φ = 30940800.

The previous prime is 135376499. The next prime is 135376519. The reversal of 135376500 is 5673531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4054 + ... + 16946.

It is an arithmetic number, because the mean of its divisors is an integer number (4693416).

Almost surely, 2135376500 is an apocalyptic number.

135376500 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 135376500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225283968).

135376500 is an abundant number, since it is smaller than the sum of its proper divisors (315191436).

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

135376500 is a wasteful number, since it uses less digits than its factorization.

135376500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922 (or 12910 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 135376500 is about 11635.1407382979. The cubic root of 135376500 is about 513.4692346463.

The spelling of 135376500 in words is "one hundred thirty-five million, three hundred seventy-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 5250 10500 12893 25786 38679 51572 64465 77358 90251 128930 154716 180502 193395 257860 270753 322325 361004 386790 451255 541506 644650 773580 902510 966975 1083012 1289300 1353765 1611625 1805020 1933950 2256275 2707530 3223250 3867900 4512550 4834875 5415060 6446500 6768825 9025100 9669750 11281375 13537650 19339500 22562750 27075300 33844125 45125500 67688250 135376500