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135331840 = 2165759
BaseRepresentation
bin10000001000100…
…00000000000000
3100102122120101101
420010100000000
5234121104330
621232344144
73232205320
oct1004200000
9312576341
10135331840
116a4338a6
12393a5054
1322064617
1413d8b280
15bd334ca
hex8110000

135331840 has 136 divisors (see below), whose sum is σ = 377484480. Its totient is φ = 45613056.

The previous prime is 135331837. The next prime is 135331897. The reversal of 135331840 is 48133531.

It is a hoax number, since the sum of its digits (28) 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 (28).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 135331799 and 135331808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293731 + ... + 2293789.

Almost surely, 2135331840 is an apocalyptic number.

135331840 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 135331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188742240).

135331840 is an abundant number, since it is smaller than the sum of its proper divisors (242152640).

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

135331840 is an frugal number, since it uses more digits than its factorization.

135331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 135331840 is about 11633.2213939218. The cubic root of 135331840 is about 513.4127648303.

The spelling of 135331840 in words is "one hundred thirty-five million, three hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 128 140 160 224 236 256 280 295 320 413 448 472 512 560 590 640 826 896 944 1024 1120 1180 1280 1652 1792 1888 2048 2065 2240 2360 2560 3304 3584 3776 4096 4130 4480 4720 5120 6608 7168 7552 8192 8260 8960 9440 10240 13216 14336 15104 16384 16520 17920 18880 20480 26432 28672 30208 32768 33040 35840 37760 40960 52864 57344 60416 65536 66080 71680 75520 81920 105728 114688 120832 132160 143360 151040 163840 211456 229376 241664 264320 286720 302080 327680 422912 458752 483328 528640 573440 604160 845824 966656 1057280 1146880 1208320 1691648 1933312 2114560 2293760 2416640 3383296 3866624 4229120 4833280 6766592 8458240 9666560 13533184 16916480 19333120 27066368 33832960 67665920 135331840