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136152307953 = 321011131325509
BaseRepresentation
bin111111011001101001…
…1110101100011110001
3111000102200120212112100
41332303103311203301
54212314442323303
6142314132251013
712556660344144
oct1766323654361
9430380525470
10136152307953
1152818479162
1222479170a69
13caba699b3c
14683860405b
15381d0348a3
hex1fb34f58f1

136152307953 has 24 divisors (see below), whose sum is σ = 200369393640. Its totient is φ = 89074137600.

The previous prime is 136152307939. The next prime is 136152308003. The reversal of 136152307953 is 359703251631.

136152307953 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 523 + 0 + 79 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27006649569 + 109145658384 = 164337^2 + 330372^2 .

It is not a de Polignac number, because 136152307953 - 234 = 118972438769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136152307899 and 136152307908.

It is not an unprimeable number, because it can be changed into a prime (136152303953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560038 + ... + 765471.

It is an arithmetic number, because the mean of its divisors is an integer number (8348724735).

Almost surely, 2136152307953 is an apocalyptic number.

It is an amenable number.

136152307953 is a deficient number, since it is larger than the sum of its proper divisors (64217085687).

136152307953 is a wasteful number, since it uses less digits than its factorization.

136152307953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325729 (or 1325726 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 136152307953 in words is "one hundred thirty-six billion, one hundred fifty-two million, three hundred seven thousand, nine hundred fifty-three".

Divisors: 1 3 9 101 113 303 339 909 1017 11413 34239 102717 1325509 3976527 11929581 133876409 149782517 401629227 449347551 1204887681 1348042653 15128034217 45384102651 136152307953