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136327136 = 25112511543
BaseRepresentation
bin10000010000000…
…10111111100000
3100111112010200012
420020002333200
5234344432021
621305544052
73243522131
oct1010027740
9314463605
10136327136
116aa53660
12397a5028
132232265a
1414169c88
15be7d35b
hex8202fe0

136327136 has 48 divisors (see below), whose sum is σ = 294150528. Its totient is φ = 61680000.

The previous prime is 136327133. The next prime is 136327151. The reversal of 136327136 is 631723631.

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 (136327133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87581 + ... + 89123.

It is an arithmetic number, because the mean of its divisors is an integer number (6128136).

Almost surely, 2136327136 is an apocalyptic number.

136327136 is a gapful number since it is divisible by the number (16) 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 136327136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147075264).

136327136 is an abundant number, since it is smaller than the sum of its proper divisors (157823392).

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

136327136 is a wasteful number, since it uses less digits than its factorization.

136327136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1807 counting only the distinct ones).

The product of its digits is 13608, while the sum is 32.

The square root of 136327136 is about 11675.9212056266. The cubic root of 136327136 is about 514.6683206953.

The spelling of 136327136 in words is "one hundred thirty-six million, three hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 251 352 502 1004 1543 2008 2761 3086 4016 5522 6172 8032 11044 12344 16973 22088 24688 33946 44176 49376 67892 88352 135784 271568 387293 543136 774586 1549172 3098344 4260223 6196688 8520446 12393376 17040892 34081784 68163568 136327136