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137765051445 = 3575827225167
BaseRepresentation
bin1000000001001101101…
…1111101110000110101
3111011121002020201200210
42000103123331300311
54224120323121240
6143142143100033
712644642421210
oct2002333756065
9434532221623
10137765051445
115347586421a
12228492a1619
13ccb6845128
14694c894777
1538b48ee780
hex20136fdc35

137765051445 has 32 divisors (see below), whose sum is σ = 251957587968. Its totient is φ = 62967221568.

The previous prime is 137765051423. The next prime is 137765051521. The reversal of 137765051445 is 544150567731.

137765051445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137765051445 - 211 = 137765049397 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137765051394 and 137765051403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499252 + ... + 724418.

It is an arithmetic number, because the mean of its divisors is an integer number (7873674624).

Almost surely, 2137765051445 is an apocalyptic number.

137765051445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137765051445 is a deficient number, since it is larger than the sum of its proper divisors (114192536523).

137765051445 is a wasteful number, since it uses less digits than its factorization.

137765051445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231009.

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 137765051445 in words is "one hundred thirty-seven billion, seven hundred sixty-five million, fifty-one thousand, four hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 5827 17481 29135 40789 87405 122367 203945 225167 611835 675501 1125835 1576169 3377505 4728507 7880845 23642535 1312048109 3936144327 6560240545 9184336763 19680721635 27553010289 45921683815 137765051445