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131435145 = 3253498369
BaseRepresentation
bin1111101010110…
…00101010001001
3100011022121010100
413311120222021
5232121411040
621013040013
73154115562
oct765305211
9304277110
10131435145
1168212196
1238026009
13212cba9a
1413655169
15b813b30
hex7d58a89

131435145 has 24 divisors (see below), whose sum is σ = 228501000. Its totient is φ = 69889536.

The previous prime is 131435119. The next prime is 131435147. The reversal of 131435145 is 541534131.

It is a happy number.

131435145 is a `hidden beast` number, since 1 + 3 + 143 + 514 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37015056 + 94420089 = 6084^2 + 9717^2 .

It is not a de Polignac number, because 131435145 - 215 = 131402377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131435147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11521 + ... + 19889.

It is an arithmetic number, because the mean of its divisors is an integer number (9520875).

Almost surely, 2131435145 is an apocalyptic number.

131435145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131435145 is a deficient number, since it is larger than the sum of its proper divisors (97065855).

131435145 is a wasteful number, since it uses less digits than its factorization.

131435145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8729 (or 8726 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 131435145 is about 11464.5167800479. The cubic root of 131435145 is about 508.4370257578.

Adding to 131435145 its reverse (541534131), we get a palindrome (672969276).

The spelling of 131435145 in words is "one hundred thirty-one million, four hundred thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 349 1047 1745 3141 5235 8369 15705 25107 41845 75321 125535 376605 2920781 8762343 14603905 26287029 43811715 131435145