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133136430 = 2357241472
BaseRepresentation
bin1111110111110…
…00000000101110
3100021112000211220
413323320000232
5233040331210
621113324210
73204432600
oct773700056
9307460756
10133136430
1169174409
1238706666
132177626b
1413979170
15ba4cc70
hex7ef802e

133136430 has 144 divisors (see below), whose sum is σ = 389034576. Its totient is φ = 29057280.

The previous prime is 133136407. The next prime is 133136447. The reversal of 133136430 is 34631331.

It is a self number, because there is not a number n which added to its sum of digits gives 133136430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2832667 + ... + 2832713.

It is an arithmetic number, because the mean of its divisors is an integer number (2701629).

Almost surely, 2133136430 is an apocalyptic number.

133136430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133136430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194517288).

133136430 is an abundant number, since it is smaller than the sum of its proper divisors (255898146).

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

133136430 is a wasteful number, since it uses less digits than its factorization.

133136430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 133136430 is about 11538.4760692216. The cubic root of 133136430 is about 510.6213495642.

Adding to 133136430 its reverse (34631331), we get a palindrome (167767761).

The spelling of 133136430 in words is "one hundred thirty-three million, one hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 47 49 70 82 94 98 105 123 141 147 205 210 235 245 246 282 287 294 329 410 470 490 574 615 658 705 735 861 987 1230 1410 1435 1470 1645 1722 1927 1974 2009 2209 2303 2870 3290 3854 4018 4305 4418 4606 4935 5781 6027 6627 6909 8610 9635 9870 10045 11045 11515 11562 12054 13254 13489 13818 15463 19270 20090 22090 23030 26978 28905 30135 30926 33135 34545 40467 46389 57810 60270 66270 67445 69090 77315 80934 90569 92778 94423 108241 134890 154630 181138 188846 202335 216482 231945 271707 283269 324723 404670 452845 463890 472115 541205 543414 566538 633983 649446 905690 944230 1082410 1267966 1358535 1416345 1623615 1901949 2717070 2832690 3169915 3247230 3803898 4437881 6339830 8875762 9509745 13313643 19019490 22189405 26627286 44378810 66568215 133136430