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136780146244 = 2272264172
BaseRepresentation
bin111111101100010111…
…0110110011001000100
3111002001102222100202101
41333120232312121010
54220111204134434
6142500321121444
712611353026400
oct1773056663104
9432042870671
10136780146244
115300a910385
1222613489284
13cb8a7917a1
146897b56100
153858200b14
hex1fd8bb6644

136780146244 has 27 divisors (see below), whose sum is σ = 278455838493. Its totient is φ = 58617843648.

The previous prime is 136780146241. The next prime is 136780146259. The reversal of 136780146244 is 442641087631.

The square root of 136780146244 is 369838.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21918802500 + 114861343744 = 148050^2 + 338912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 136780146194 and 136780146203.

It is not an unprimeable number, because it can be changed into a prime (136780146241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5164524 + ... + 5190940.

Almost surely, 2136780146244 is an apocalyptic number.

136780146244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

136780146244 is the 369838-th square number.

It is an amenable number.

136780146244 is an abundant number, since it is smaller than the sum of its proper divisors (141675692249).

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

136780146244 is an frugal number, since it uses more digits than its factorization.

136780146244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52852 (or 26426 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

It can be divided in two parts, 136780 and 146244, that added together give a square (283024 = 5322).

The spelling of 136780146244 in words is "one hundred thirty-six billion, seven hundred eighty million, one hundred forty-six thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 26417 52834 105668 184919 369838 739676 1294433 2588866 5177732 697857889 1395715778 2791431556 4885005223 9770010446 19540020892 34195036561 68390073122 136780146244