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141157137 = 31117219241
BaseRepresentation
bin10000110100111…
…10001100010001
3100211121112012010
420122132030101
5242114012022
622001253133
73332546562
oct1032361421
9324545163
10141157137
11727524a0
123b3341a9
1323323c44
1414a66169
15c5d450c
hex869e311

141157137 has 72 divisors (see below), whose sum is σ = 235805472. Its totient is φ = 74419200.

The previous prime is 141157117. The next prime is 141157151. The reversal of 141157137 is 731751141.

It is not a de Polignac number, because 141157137 - 218 = 140894993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141157117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3442837 + ... + 3442877.

It is an arithmetic number, because the mean of its divisors is an integer number (3275076).

Almost surely, 2141157137 is an apocalyptic number.

141157137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

141157137 is a deficient number, since it is larger than the sum of its proper divisors (94648335).

141157137 is a wasteful number, since it uses less digits than its factorization.

141157137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its digits is 2940, while the sum is 30.

The square root of 141157137 is about 11880.9569059062. The cubic root of 141157137 is about 520.6760646844.

The spelling of 141157137 in words is "one hundred forty-one million, one hundred fifty-seven thousand, one hundred thirty-seven".

Divisors: 1 3 11 17 19 33 41 51 57 123 187 209 289 323 361 451 561 627 697 779 867 969 1083 1353 2091 2337 3179 3553 3971 5491 6137 7667 8569 9537 10659 11849 11913 13243 14801 16473 18411 23001 25707 35547 39729 44403 60401 67507 104329 130339 145673 162811 181203 202521 225131 251617 312987 391017 437019 488433 675393 754851 1147619 2476441 2767787 3442857 4277489 7429323 8303361 12832467 47052379 141157137