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135151504425 = 33527191505447
BaseRepresentation
bin111110111011110101…
…0000100110000101001
3110220211221101210012000
41331313222010300221
54203242241120200
6142030541441213
712523115555460
oct1756752046051
9426757353160
10135151504425
1152354556703
1222239b70209
13c98b23acc2
1467817279d7
1537b0245300
hex1f77a84c29

135151504425 has 96 divisors (see below), whose sum is σ = 298680883200. Its totient is φ = 58531740480.

The previous prime is 135151504421. The next prime is 135151504447. The reversal of 135151504425 is 524405151531.

135151504425 is a `hidden beast` number, since 1 + 35 + 151 + 50 + 4 + 425 = 666.

It is not a de Polignac number, because 135151504425 - 22 = 135151504421 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135151504425.

It is not an unprimeable number, because it can be changed into a prime (135151504421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 662949 + ... + 842498.

It is an arithmetic number, because the mean of its divisors is an integer number (3111259200).

Almost surely, 2135151504425 is an apocalyptic number.

135151504425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135151504425 is an abundant number, since it is smaller than the sum of its proper divisors (163529378775).

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

135151504425 is a wasteful number, since it uses less digits than its factorization.

135151504425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505492 (or 1505481 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 135151504425 its reverse (524405151531), we get a palindrome (659556655956).

The spelling of 135151504425 in words is "one hundred thirty-five billion, one hundred fifty-one million, five hundred four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 95 105 133 135 171 175 189 225 285 315 399 475 513 525 665 675 855 945 1197 1425 1575 1995 2565 3325 3591 4275 4725 5985 9975 12825 17955 29925 89775 1505447 4516341 7527235 10538129 13549023 22581705 28603493 31614387 37636175 40647069 52690645 67745115 85810479 94843161 112908525 143017465 158071935 200224451 203235345 257431437 263453225 284529483 338725575 429052395 474215805 600673353 715087325 772294311 790359675 1001122255 1016176725 1287157185 1422647415 1802020059 2145261975 2371079025 3003366765 3861471555 5005611275 5406060177 6435785925 7113237075 9010100295 15016833825 19307357775 27030300885 45050501475 135151504425