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136488 = 23311247
BaseRepresentation
bin100001010100101000
320221020010
4201110220
513331423
62531520
71105632
oct412450
9227203
10136488
1193600
1266ba0
134a181
1437a52
152a693
hex21528

136488 has 48 divisors (see below), whose sum is σ = 383040. Its totient is φ = 40480.

The previous prime is 136483. The next prime is 136501. The reversal of 136488 is 884631.

136488 = T152 + T153 + ... + T162.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136481) by changing a digit.

136488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2881 + ... + 2927.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2136488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

136488 is an abundant number, since it is smaller than the sum of its proper divisors (246552).

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

136488 is a wasteful number, since it uses less digits than its factorization.

136488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 136488 is about 369.4428237224. The cubic root of 136488 is about 51.4870674788.

The spelling of 136488 in words is "one hundred thirty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 121 132 141 188 242 264 282 363 376 484 517 564 726 968 1034 1128 1452 1551 2068 2904 3102 4136 5687 6204 11374 12408 17061 22748 34122 45496 68244 136488