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145601136 = 24321995081
BaseRepresentation
bin10001010110110…
…11001001110000
3101010222022012200
420223123021300
5244233214021
622240423200
73415406052
oct1053331160
9333868180
10145601136
117520831a
1240917b00
132421b925
14154a18d2
15cbb1126
hex8adb270

145601136 has 60 divisors (see below), whose sum is σ = 409609200. Its totient is φ = 48280320.

The previous prime is 145601111. The next prime is 145601147. The reversal of 145601136 is 631106541.

145601136 is a `hidden beast` number, since 1 + 45 + 601 + 13 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26116 + ... + 31196.

It is an arithmetic number, because the mean of its divisors is an integer number (6826820).

Almost surely, 2145601136 is an apocalyptic number.

145601136 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 145601136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204804600).

145601136 is an abundant number, since it is smaller than the sum of its proper divisors (264008064).

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

145601136 is a wasteful number, since it uses less digits than its factorization.

145601136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 145601136 is about 12066.5295756485. The cubic root of 145601136 is about 526.0837910533.

Adding to 145601136 its reverse (631106541), we get a palindrome (776707677).

The spelling of 145601136 in words is "one hundred forty-five million, six hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 3184 3582 4776 5081 7164 9552 10162 14328 15243 20324 28656 30486 40648 45729 60972 81296 91458 121944 182916 243888 365832 731664 1011119 2022238 3033357 4044476 6066714 8088952 9100071 12133428 16177904 18200142 24266856 36400284 48533712 72800568 145601136