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135361665141 = 3127883140231
BaseRepresentation
bin111111000010000101…
…1110001100001110101
3110221101120212001111020
41332010023301201311
54204210041241031
6142103450131353
712531250112103
oct1760413614165
9427346761436
10135361665141
115245214954a
1222298420b59
13c9c2942061
1467a15d2c73
1537c390a096
hex1f842f1875

135361665141 has 16 divisors (see below), whose sum is σ = 181928460288. Its totient is φ = 89518186800.

The previous prime is 135361665139. The next prime is 135361665157. The reversal of 135361665141 is 141566163531.

It is not a de Polignac number, because 135361665141 - 21 = 135361665139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135361665093 and 135361665102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135361665161) 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 15 ways as a sum of consecutive naturals, for example, 3344496 + ... + 3384726.

It is an arithmetic number, because the mean of its divisors is an integer number (11370528768).

Almost surely, 2135361665141 is an apocalyptic number.

It is an amenable number.

135361665141 is a deficient number, since it is larger than the sum of its proper divisors (46566795147).

135361665141 is a wasteful number, since it uses less digits than its factorization.

135361665141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49192.

The product of its digits is 194400, while the sum is 42.

The spelling of 135361665141 in words is "one hundred thirty-five billion, three hundred sixty-one million, six hundred sixty-five thousand, one hundred forty-one".

Divisors: 1 3 127 381 8831 26493 40231 120693 1121537 3364611 5109337 15328011 355279961 1065839883 45120555047 135361665141