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133077438 = 233131631163
BaseRepresentation
bin1111110111010…
…01100110111110
3100021102000221000
413323221212332
5233031434223
621112151130
73204065604
oct773514676
9307360830
10133077438
116913405a
12386984a6
1321755460
1413961874
15ba3a543
hex7ee99be

133077438 has 64 divisors (see below), whose sum is σ = 320705280. Its totient is φ = 40660704.

The previous prime is 133077437. The next prime is 133077443. The reversal of 133077438 is 834770331.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133077437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113845 + ... + 115007.

It is an arithmetic number, because the mean of its divisors is an integer number (5011020).

Almost surely, 2133077438 is an apocalyptic number.

133077438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133077438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160352640).

133077438 is an abundant number, since it is smaller than the sum of its proper divisors (187627842).

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

133077438 is a wasteful number, since it uses less digits than its factorization.

133077438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 133077438 is about 11535.9194692057. The cubic root of 133077438 is about 510.5459206106.

The spelling of 133077438 in words is "one hundred thirty-three million, seventy-seven thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 163 234 326 351 489 702 978 1163 1467 2119 2326 2934 3489 4238 4401 6357 6978 8802 10467 12714 15119 19071 20934 30238 31401 38142 45357 57213 62802 90714 114426 136071 189569 272142 379138 408213 568707 816426 1137414 1706121 2464397 3412242 4928794 5118363 7393191 10236726 14786382 22179573 44359146 66538719 133077438