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136097920 = 2757171787
BaseRepresentation
bin10000001110010…
…11000010000000
3100111002111020201
420013023002000
5234320113140
621301014544
73241545640
oct1007130200
9314074221
10136097920
116a907422
12396b4454
132227221a
141410a520
15be3549a
hex81cb080

136097920 has 128 divisors (see below), whose sum is σ = 393932160. Its totient is φ = 43892736.

The previous prime is 136097909. The next prime is 136097921. The reversal of 136097920 is 29790631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 136097920.

It is not an unprimeable number, because it can be changed into a prime (136097921) 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, 75267 + ... + 77053.

It is an arithmetic number, because the mean of its divisors is an integer number (3077595).

Almost surely, 2136097920 is an apocalyptic number.

136097920 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 136097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196966080).

136097920 is an abundant number, since it is smaller than the sum of its proper divisors (257834240).

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

136097920 is a wasteful number, since it uses less digits than its factorization.

136097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 136097920 is about 11666.1013196355. The cubic root of 136097920 is about 514.3797100387.

The spelling of 136097920 in words is "one hundred thirty-six million, ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1787 1904 2176 2240 2380 2720 3574 3808 4480 4760 5440 7148 7616 8935 9520 10880 12509 14296 15232 17870 19040 25018 28592 30379 35740 38080 50036 57184 60758 62545 71480 76160 100072 114368 121516 125090 142960 151895 200144 212653 228736 243032 250180 285920 303790 400288 425306 486064 500360 571840 607580 800576 850612 972128 1000720 1063265 1143680 1215160 1601152 1701224 1944256 2001440 2126530 2430320 3402448 3888512 4002880 4253060 4860640 6804896 8005760 8506120 9721280 13609792 17012240 19442560 27219584 34024480 68048960 136097920