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146456600135 = 5436724142187
BaseRepresentation
bin1000100001100101111…
…1100101111001000111
3112000000210221011001112
42020121133211321013
54344420342201020
6151140425115235
713403221363256
oct2103137457107
9460023834045
10146456600135
1157125a2940a
1224474028b1b
1310a70428951
147134d3679d
153c2299d2c5
hex22197e5e47

146456600135 has 32 divisors (see below), whose sum is σ = 183280872192. Its totient is φ = 112262008320.

The previous prime is 146456600119. The next prime is 146456600161. The reversal of 146456600135 is 531006654641.

It is not a de Polignac number, because 146456600135 - 24 = 146456600119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146456600092 and 146456600101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3450512 + ... + 3492698.

It is an arithmetic number, because the mean of its divisors is an integer number (5727527256).

Almost surely, 2146456600135 is an apocalyptic number.

146456600135 is a deficient number, since it is larger than the sum of its proper divisors (36824272057).

146456600135 is a wasteful number, since it uses less digits than its factorization.

146456600135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42543.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 146456600135 in words is "one hundred forty-six billion, four hundred fifty-six million, six hundred thousand, one hundred thirty-five".

Divisors: 1 5 43 67 215 241 335 1205 2881 10363 14405 16147 42187 51815 80735 210935 694321 1814041 2826529 3471605 9070205 10167067 14132645 50835335 121540747 437183881 607703735 681193489 2185919405 3405967445 29291320027 146456600135