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135120414036 = 223127427120759
BaseRepresentation
bin111110111010111001…
…1011110010101010100
3110220202202220020012010
41331311303132111110
54203211311222121
6142023511224220
712522260366106
oct1756563362524
9426682806163
10135120414036
1152338a50a73
122222b678070
13c98497391a
14677b553576
1537ac653376
hex1f75cde554

135120414036 has 48 divisors (see below), whose sum is σ = 317853204480. Its totient is φ = 44672876640.

The previous prime is 135120414001. The next prime is 135120414061. The reversal of 135120414036 is 630414021531.

It is a junction number, because it is equal to n+sod(n) for n = 135120413994 and 135120414012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6498625 + ... + 6519383.

It is an arithmetic number, because the mean of its divisors is an integer number (6621941760).

Almost surely, 2135120414036 is an apocalyptic number.

It is an amenable number.

135120414036 is an abundant number, since it is smaller than the sum of its proper divisors (182732790444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135120414036 is a wasteful number, since it uses less digits than its factorization.

135120414036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25164 (or 25162 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 135120414036 its reverse (630414021531), we get a palindrome (765534435567).

The spelling of 135120414036 in words is "one hundred thirty-five billion, one hundred twenty million, four hundred fourteen thousand, thirty-six".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 4271 8542 12813 17084 20759 25626 41518 51252 62277 83036 124554 249108 542417 1084834 1627251 2169668 2636393 3254502 5272786 6509004 7909179 10545572 15818358 31636716 88661689 177323378 265985067 354646756 531970134 1063940268 11260034503 22520069006 33780103509 45040138012 67560207018 135120414036