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141135126 = 23112316271
BaseRepresentation
bin10000110100110…
…00110100010110
3100211120101222220
420122120310112
5242112311001
622001003210
73332425446
oct1032306426
9324511886
10141135126
1172737a00
123b323506
1323316c12
1414a5c126
15c5ccc36
hex8698d16

141135126 has 48 divisors (see below), whose sum is σ = 320323584. Its totient is φ = 41382000.

The previous prime is 141135119. The next prime is 141135187. The reversal of 141135126 is 621531141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141135096 and 141135105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19371 + ... + 25641.

It is an arithmetic number, because the mean of its divisors is an integer number (6673408).

Almost surely, 2141135126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141135126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160161792).

141135126 is an abundant number, since it is smaller than the sum of its proper divisors (179188458).

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

141135126 is a wasteful number, since it uses less digits than its factorization.

141135126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329 (or 6318 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 141135126 is about 11880.0305555163. The cubic root of 141135126 is about 520.6489998193.

Adding to 141135126 its reverse (621531141), we get a palindrome (762666267).

The spelling of 141135126 in words is "one hundred forty-one million, one hundred thirty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 6271 7502 11253 12542 18813 22506 37626 68981 137962 194401 206943 388802 413886 583203 758791 1166406 1517582 2138411 2276373 4276822 4552746 6415233 12830466 23522521 47045042 70567563 141135126