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135701614129 = 79246632
BaseRepresentation
bin111111001100001110…
…0100100111000110001
3110222021021112020211111
41332120130210320301
54210404103123004
6142201312313321
712542545455034
oct1763034447061
9428237466744
10135701614129
1152607029224
1222372242841
13ca481b93c3
1467d480501b
1537e36aaa04
hex1f98724e31

135701614129 has 9 divisors (see below), whose sum is σ = 137470580793. Its totient is φ = 133955138772.

The previous prime is 135701614121. The next prime is 135701614159. The reversal of 135701614129 is 921416107531.

The square root of 135701614129 is 368377.

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

It is not a de Polignac number, because 135701614129 - 23 = 135701614121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135701614091 and 135701614100.

It is not an unprimeable number, because it can be changed into a prime (135701614121) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 29099452 + ... + 29104114.

It is an arithmetic number, because the mean of its divisors is an integer number (15274508977).

Almost surely, 2135701614129 is an apocalyptic number.

135701614129 is the 368377-th square number.

135701614129 is the 184189-th centered octagonal number.

It is an amenable number.

135701614129 is a deficient number, since it is larger than the sum of its proper divisors (1768966664).

135701614129 is an frugal number, since it uses more digits than its factorization.

135701614129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 135701614129 in words is "one hundred thirty-five billion, seven hundred one million, six hundred fourteen thousand, one hundred twenty-nine".

Divisors: 1 79 4663 6241 368377 21743569 29101783 1717741951 135701614129