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133761342 = 2311133147107
BaseRepresentation
bin1111111100100…
…00100100111110
3100022200210001210
413332100210332
5233220330332
621134545250
73212644521
oct776204476
9308623053
10133761342
1169560970
1238968226
1321934830
1413a9cbb8
15bb22ecc
hex7f9093e

133761342 has 128 divisors (see below), whose sum is σ = 334430208. Its totient is φ = 35107200.

The previous prime is 133761317. The next prime is 133761343. The reversal of 133761342 is 243167331.

It is a super-2 number, since 2×1337613422 = 35784193227281928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133761343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1250053 + ... + 1250159.

It is an arithmetic number, because the mean of its divisors is an integer number (2612736).

Almost surely, 2133761342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133761342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104).

133761342 is an abundant number, since it is smaller than the sum of its proper divisors (200668866).

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

133761342 is a wasteful number, since it uses less digits than its factorization.

133761342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214.

The product of its digits is 9072, while the sum is 30.

The square root of 133761342 is about 11565.5238532459. The cubic root of 133761342 is about 511.4190161785.

The spelling of 133761342 in words is "one hundred thirty-three million, seven hundred sixty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 47 62 66 78 93 94 107 141 143 186 214 282 286 321 341 403 429 517 611 642 682 806 858 1023 1034 1177 1209 1222 1391 1457 1551 1833 2046 2354 2418 2782 2914 3102 3317 3531 3666 4173 4371 4433 5029 6634 6721 7062 8346 8742 8866 9951 10058 13299 13442 15087 15301 16027 18941 19902 20163 26598 30174 30602 32054 36487 37882 40326 43121 45903 48081 55319 56823 65377 72974 86242 91806 96162 109461 110638 113646 129363 130754 155899 165957 196131 208351 218922 258726 311798 331914 392262 416702 467697 474331 625053 719147 935394 948662 1250106 1422993 1438294 1714889 2026687 2157441 2845986 3429778 4053374 4314882 5144667 6080061 10289334 12160122 22293557 44587114 66880671 133761342