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135710148 = 223759139197
BaseRepresentation
bin10000001011011…
…00010111000100
3100110100210022210
420011230113010
5234220211043
621244423420
73235342260
oct1005542704
9313323283
10135710148
116a672052
1239547b70
1322167882
14140490a0
15bdaa633
hex816c5c4

135710148 has 96 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 37650816.

The previous prime is 135710147. The next prime is 135710149. The reversal of 135710148 is 841017531.

It is an interprime number because it is at equal distance from previous prime (135710147) and next prime (135710149).

It is not an unprimeable number, because it can be changed into a prime (135710147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688786 + ... + 688982.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 2135710148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135710148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

135710148 is an abundant number, since it is smaller than the sum of its proper divisors (236846652).

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

135710148 is a wasteful number, since it uses less digits than its factorization.

135710148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 135710148 is about 11649.4698591824. The cubic root of 135710148 is about 513.8907194991.

Adding to 135710148 its reverse (841017531), we get a palindrome (976727679).

The spelling of 135710148 in words is "one hundred thirty-five million, seven hundred ten thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 139 177 197 236 278 354 394 413 417 556 591 708 788 826 834 973 1182 1239 1379 1652 1668 1946 2364 2478 2758 2919 3892 4137 4956 5516 5838 8201 8274 11623 11676 16402 16548 23246 24603 27383 32804 34869 46492 49206 54766 57407 69738 81361 82149 98412 109532 114814 139476 162722 164298 172221 191681 229628 244083 325444 328596 344442 383362 488166 575043 688884 766724 976332 1150086 1615597 2300172 3231194 4846791 6462388 9693582 11309179 19387164 22618358 33927537 45236716 67855074 135710148