Search a number
-
+
136148266960 = 24511315060649
BaseRepresentation
bin111111011001100010…
…0011010111111010000
3111000102101222120022221
41332303010122333100
54212312424020320
6142313505510424
712556611113626
oct1766304327720
9430371876287
10136148266960
11528161690a2
1222477942414
13cab98b3714
146837c71516
15381c9d73aa
hex1fb311afd0

136148266960 has 40 divisors (see below), whose sum is σ = 319346022600. Its totient is φ = 53977362432.

The previous prime is 136148266951. The next prime is 136148267023. The reversal of 136148266960 is 69662841631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12438494784 + 123709772176 = 111528^2 + 351724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1361482669602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136148266898 and 136148266907.

It is a congruent number.

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, 7521285 + ... + 7539364.

It is an arithmetic number, because the mean of its divisors is an integer number (7983650565).

Almost surely, 2136148266960 is an apocalyptic number.

136148266960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136148266960 is an abundant number, since it is smaller than the sum of its proper divisors (183197755640).

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

136148266960 is a wasteful number, since it uses less digits than its factorization.

136148266960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15060775 (or 15060769 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 136148266960 in words is "one hundred thirty-six billion, one hundred forty-eight million, two hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 15060649 30121298 60242596 75303245 120485192 150606490 240970384 301212980 602425960 1204851920 1701853337 3403706674 6807413348 8509266685 13614826696 17018533370 27229653392 34037066740 68074133480 136148266960