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136771520 = 2652771543
BaseRepresentation
bin10000010011011…
…11011111000000
3100112100201020212
420021233133000
5240003142040
621323253252
73250352534
oct1011573700
9315321225
10136771520
1170227516
123997a228
13224499c2
1414243bc4
15c019d65
hex826f7c0

136771520 has 56 divisors (see below), whose sum is σ = 327074784. Its totient is φ = 54475776.

The previous prime is 136771493. The next prime is 136771529. The reversal of 136771520 is 25177631.

It is a super-2 number, since 2×1367715202 = 37412897366220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136771529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87869 + ... + 89411.

Almost surely, 2136771520 is an apocalyptic number.

136771520 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 136771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537392).

136771520 is an abundant number, since it is smaller than the sum of its proper divisors (190303264).

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

136771520 is a wasteful number, since it uses less digits than its factorization.

136771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 136771520 is about 11694.9356560864. The cubic root of 136771520 is about 515.2269336382.

The spelling of 136771520 in words is "one hundred thirty-six million, seven hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 277 320 554 1108 1385 1543 2216 2770 3086 4432 5540 6172 7715 8864 11080 12344 15430 17728 22160 24688 30860 44320 49376 61720 88640 98752 123440 246880 427411 493760 854822 1709644 2137055 3419288 4274110 6838576 8548220 13677152 17096440 27354304 34192880 68385760 136771520