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133525525144 = 23114577274567
BaseRepresentation
bin111110001011010111…
…1011101001010011000
3110202122121211110221011
41330112233131022120
54141430013301034
6141201335223304
712434613144214
oct1742657351230
9422577743834
10133525525144
115169a750380
1221a65517b34
13c78c40a39b
1466697cd944
153717613864
hex1f16bdd298

133525525144 has 64 divisors (see below), whose sum is σ = 274154549760. Its totient is φ = 60464067840.

The previous prime is 133525525141. The next prime is 133525525157. The reversal of 133525525144 is 441525525331.

It is a junction number, because it is equal to n+sod(n) for n = 133525525097 and 133525525106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133525525141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29234749 + ... + 29239315.

It is an arithmetic number, because the mean of its divisors is an integer number (4283664840).

Almost surely, 2133525525144 is an apocalyptic number.

It is an amenable number.

133525525144 is an abundant number, since it is smaller than the sum of its proper divisors (140629024616).

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

133525525144 is a wasteful number, since it uses less digits than its factorization.

133525525144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5764 counting only the distinct ones).

The product of its digits is 360000, while the sum is 40.

The spelling of 133525525144 in words is "one hundred thirty-three billion, five hundred twenty-five million, five hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 457 727 914 1454 1828 2908 3656 4567 5027 5816 7997 9134 10054 15994 18268 20108 31988 36536 40216 50237 63976 100474 200948 332239 401896 664478 1328956 2087119 2657912 3320209 3654629 4174238 6640418 7309258 8348476 13280836 14618516 16696952 22958309 26561672 29237032 36522299 45916618 73044598 91833236 146089196 183666472 292178392 1517335513 3034671026 6069342052 12138684104 16690690643 33381381286 66762762572 133525525144