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137682153256 = 2317210269157
BaseRepresentation
bin1000000000111001111…
…1101110111100101000
3111011101022021001202111
42000032133232330220
54223433112401011
6143130022212104
712642614664424
oct2001637567450
9434338231674
10137682153256
1153432a9361a
1222825584034
13cca260b84b
146941875b84
1538ac4c7121
hex200e7eef28

137682153256 has 8 divisors (see below), whose sum is σ = 258154037370. Its totient is φ = 68841076624.

The previous prime is 137682153239. The next prime is 137682153353. The reversal of 137682153256 is 652351286731.

It is a happy number.

137682153256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 123154672356 + 14527480900 = 350934^2 + 120530^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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 as a sum of consecutive naturals, namely, 8605134571 + ... + 8605134586.

Almost surely, 2137682153256 is an apocalyptic number.

It is an amenable number.

137682153256 is a deficient number, since it is larger than the sum of its proper divisors (120471884114).

137682153256 is a wasteful number, since it uses less digits than its factorization.

137682153256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17210269163 (or 17210269159 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

The spelling of 137682153256 in words is "one hundred thirty-seven billion, six hundred eighty-two million, one hundred fifty-three thousand, two hundred fifty-six".

Divisors: 1 2 4 8 17210269157 34420538314 68841076628 137682153256