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136371072 = 2731073319
BaseRepresentation
bin10000010000011…
…01101110000000
3100111121100221110
420020031232000
5234402333242
621310523320
73244064205
oct1010155600
9314540843
10136371072
116aa83672
1239806540
1322339656
141417bcac
15be8b39c
hex820db80

136371072 has 64 divisors (see below), whose sum is σ = 365731200. Its totient is φ = 45018624.

The previous prime is 136371047. The next prime is 136371091. The reversal of 136371072 is 270173631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39429 + ... + 42747.

It is an arithmetic number, because the mean of its divisors is an integer number (5714550).

Almost surely, 2136371072 is an apocalyptic number.

136371072 is a gapful number since it is divisible by the number (12) 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 136371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182865600).

136371072 is an abundant number, since it is smaller than the sum of its proper divisors (229360128).

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

136371072 is a wasteful number, since it uses less digits than its factorization.

136371072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 136371072 is about 11677.8025330111. The cubic root of 136371072 is about 514.7236044762.

The spelling of 136371072 in words is "one hundred thirty-six million, three hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3319 3424 5136 6638 6848 9957 10272 13276 13696 19914 20544 26552 39828 41088 53104 79656 106208 159312 212416 318624 355133 424832 637248 710266 1065399 1274496 1420532 2130798 2841064 4261596 5682128 8523192 11364256 17046384 22728512 34092768 45457024 68185536 136371072