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133744122 = 2343753421
BaseRepresentation
bin1111111100011…
…00010111111010
3100022122220110000
413332030113322
5233214302442
621134333430
73212543361
oct776142772
9308586400
10133744122
1169549a36
123895a276
1321929a45
1413a967d8
15bb1cd4c
hex7f8c5fa

133744122 has 80 divisors (see below), whose sum is σ = 314337672. Its totient is φ = 42456960.

The previous prime is 133744111. The next prime is 133744123. The reversal of 133744122 is 221447331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112593321 + 21150801 = 10611^2 + 4599^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133744123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 317472 + ... + 317892.

Almost surely, 2133744122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133744122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157168836).

133744122 is an abundant number, since it is smaller than the sum of its proper divisors (180593550).

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

133744122 is a wasteful number, since it uses less digits than its factorization.

133744122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 133744122 is about 11564.7793753275. The cubic root of 133744122 is about 511.3970690966.

The spelling of 133744122 in words is "one hundred thirty-three million, seven hundred forty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 53 54 74 81 106 111 159 162 222 318 333 421 477 666 842 954 999 1263 1431 1961 1998 2526 2862 2997 3789 3922 4293 5883 5994 7578 8586 11367 11766 15577 17649 22313 22734 31154 34101 35298 44626 46731 52947 66939 68202 93462 105894 133878 140193 158841 200817 280386 317682 401634 420579 602451 825581 841158 1204902 1261737 1651162 1807353 2476743 2523474 3614706 4953486 7430229 14860458 22290687 44581374 66872061 133744122