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145536224130 = 232511197737173
BaseRepresentation
bin1000011110001010100…
…0101000101110000010
3111220122200002012112100
42013202220220232002
54341024233133010
6150505230211230
713341344331303
oct2074250505602
9456580065470
10145536224130
11567a344a290
1224257953b16
131095484996b
1470889d47aa
153bbbc992c0
hex21e2a28b82

145536224130 has 96 divisors (see below), whose sum is σ = 434519691840. Its totient is φ = 33424583040.

The previous prime is 145536224107. The next prime is 145536224147. The reversal of 145536224130 is 31422635541.

145536224130 is a `hidden beast` number, since 1 + 4 + 55 + 362 + 241 + 3 + 0 = 666.

145536224130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3849777 + ... + 3887396.

It is an arithmetic number, because the mean of its divisors is an integer number (4526246790).

Almost surely, 2145536224130 is an apocalyptic number.

145536224130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145536224130 is an abundant number, since it is smaller than the sum of its proper divisors (288983467710).

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

145536224130 is a wasteful number, since it uses less digits than its factorization.

145536224130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737216 (or 7737213 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 145536224130 its reverse (31422635541), we get a palindrome (176958859671).

The spelling of 145536224130 in words is "one hundred forty-five billion, five hundred thirty-six million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 3135 3762 6270 9405 18810 7737173 15474346 23211519 38685865 46423038 69634557 77371730 85108903 116057595 139269114 147006287 170217806 232115190 255326709 294012574 348172785 425544515 441018861 510653418 696345570 735031435 765980127 851089030 882037722 1276633545 1323056583 1470062870 1531960254 1617069157 2205094305 2553267090 2646113166 3234138314 3829900635 4410188610 4851207471 6615282915 7659801270 8085345785 9702414942 13230565830 14553622413 16170691570 24256037355 29107244826 48512074710 72768112065 145536224130