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136557312 = 283269661
BaseRepresentation
bin10000010001110…
…11001100000000
3100111221211102020
420020323030000
5234424313222
621314521440
73245501163
oct1010731400
9314854366
10136557312
11700a0591
1239896280
13223a3358
14141c9ada
15bec665c
hex823b300

136557312 has 72 divisors (see below), whose sum is σ = 365344560. Its totient is φ = 45281280.

The previous prime is 136557307. The next prime is 136557331. The reversal of 136557312 is 213755631.

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, 206262 + ... + 206922.

It is an arithmetic number, because the mean of its divisors is an integer number (5074230).

Almost surely, 2136557312 is an apocalyptic number.

136557312 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 136557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182672280).

136557312 is an abundant number, since it is smaller than the sum of its proper divisors (228787248).

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

136557312 is an equidigital number, since it uses as much as digits as its factorization.

136557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 935 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 136557312 is about 11685.7739153211. The cubic root of 136557312 is about 514.9578147492.

The spelling of 136557312 in words is "one hundred thirty-six million, five hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 269 384 538 661 768 807 1076 1322 1614 1983 2152 2644 3228 3966 4304 5288 6456 7932 8608 10576 12912 15864 17216 21152 25824 31728 34432 42304 51648 63456 68864 84608 103296 126912 169216 177809 206592 253824 355618 507648 533427 711236 1066854 1422472 2133708 2844944 4267416 5689888 8534832 11379776 17069664 22759552 34139328 45519104 68278656 136557312