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133025125880 = 23567831673581
BaseRepresentation
bin111101111100011101…
…0100101010111111000
3110201100202020120012002
41323320322211113320
54134413413012010
6141035542040132
712416325625223
oct1737072452770
9421322216162
10133025125880
1151463240a69
1221945a19048
13c70c84564a
14661d1725ba
1536d871c1a5
hex1ef8ea55f8

133025125880 has 128 divisors (see below), whose sum is σ = 309361006080. Its totient is φ = 51459893760.

The previous prime is 133025125879. The next prime is 133025125943. The reversal of 133025125880 is 88521520331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37145690 + ... + 37149270.

It is an arithmetic number, because the mean of its divisors is an integer number (2416882860).

Almost surely, 2133025125880 is an apocalyptic number.

133025125880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133025125880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154680503040).

133025125880 is an abundant number, since it is smaller than the sum of its proper divisors (176335880200).

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

133025125880 is a wasteful number, since it uses less digits than its factorization.

133025125880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 133025125880 in words is "one hundred thirty-three billion, twenty-five million, one hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 67 83 134 166 167 268 332 334 335 415 536 664 668 670 830 835 1336 1340 1660 1670 2680 3320 3340 3581 5561 6680 7162 11122 11189 13861 14324 17905 22244 22378 27722 27805 28648 35810 44488 44756 55444 55610 55945 69305 71620 89512 110888 111220 111890 138610 143240 222440 223780 239927 277220 297223 447560 479854 554440 594446 598027 928687 959708 1188892 1196054 1199635 1486115 1857374 1919416 2377784 2392108 2399270 2972230 2990135 3714748 4643435 4784216 4798540 5944460 5980270 7429496 9286870 9597080 11888920 11960540 18573740 19913941 23921080 37147480 39827882 40067809 49636241 79655764 80135618 99272482 99569705 159311528 160271236 198544964 199139410 200339045 248181205 320542472 397089928 398278820 400678090 496362410 796557640 801356180 992724820 1602712360 1985449640 3325628147 6651256294 13302512588 16628140735 26605025176 33256281470 66512562940 133025125880