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131214135 = 35132191271
BaseRepresentation
bin1111101001000…
…10101100110111
3100010220100221210
413310202230313
5232042323020
621004212503
73152205333
oct764425467
9303810853
10131214135
1168081138
1237b3a133
1321252300
14135d87c3
15b7bd3e0
hex7d22b37

131214135 has 48 divisors (see below), whose sum is σ = 229367808. Its totient is φ = 64022400.

The previous prime is 131214101. The next prime is 131214157. The reversal of 131214135 is 531412131.

It is not a de Polignac number, because 131214135 - 214 = 131197751 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484050 + ... + 484320.

It is an arithmetic number, because the mean of its divisors is an integer number (4778496).

Almost surely, 2131214135 is an apocalyptic number.

131214135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131214135 is a deficient number, since it is larger than the sum of its proper divisors (98153673).

131214135 is a wasteful number, since it uses less digits than its factorization.

131214135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 131214135 is about 11454.8738535175. The cubic root of 131214135 is about 508.1518845964.

Adding to 131214135 its reverse (531412131), we get a palindrome (662626266).

The spelling of 131214135 in words is "one hundred thirty-one million, two hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 169 191 195 271 507 573 813 845 955 1355 2483 2535 2865 3523 4065 7449 10569 12415 17615 32279 37245 45799 51761 52845 96837 137397 155283 161395 228995 258805 484185 672893 686985 776415 2018679 3364465 8747609 10093395 26242827 43738045 131214135