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133125630 = 235113710903
BaseRepresentation
bin1111110111101…
…01010111111110
3100021111111000220
413323311113332
5233040010010
621113202210
73204356241
oct773652776
9307444026
10133125630
1169167290
1238700366
1321771381
1413975258
15ba49970
hex7ef55fe

133125630 has 64 divisors (see below), whose sum is σ = 358000128. Its totient is φ = 31397760.

The previous prime is 133125599. The next prime is 133125637. The reversal of 133125630 is 36521331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133125630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133125637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6759 + ... + 17661.

It is an arithmetic number, because the mean of its divisors is an integer number (5593752).

Almost surely, 2133125630 is an apocalyptic number.

133125630 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 133125630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179000064).

133125630 is an abundant number, since it is smaller than the sum of its proper divisors (224874498).

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

133125630 is a wasteful number, since it uses less digits than its factorization.

133125630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10961.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 133125630 is about 11538.0080603196. The cubic root of 133125630 is about 510.6075420243.

Adding to 133125630 its reverse (36521331), we get a palindrome (169646961).

The spelling of 133125630 in words is "one hundred thirty-three million, one hundred twenty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 10903 12210 21806 32709 54515 65418 109030 119933 163545 239866 327090 359799 403411 599665 719598 806822 1199330 1210233 1798995 2017055 2420466 3597990 4034110 4437521 6051165 8875042 12102330 13312563 22187605 26625126 44375210 66562815 133125630