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155242125135 = 325191381131477
BaseRepresentation
bin1001000010010100100…
…1101101011101001111
3112211201002110001200100
42100211021231131033
510020413441001020
6155152305302143
714134021201626
oct2204511553517
9484632401610
10155242125135
115a924150379
1226106334953
1311840624256
147729a7c6bd
154088e11a90
hex242526d74f

155242125135 has 48 divisors (see below), whose sum is σ = 283456049760. Its totient is φ = 78380732160.

The previous prime is 155242125091. The next prime is 155242125139. The reversal of 155242125135 is 531521242551.

155242125135 is a `hidden beast` number, since 1 + 5 + 524 + 2 + 125 + 1 + 3 + 5 = 666.

155242125135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 155242125135 - 213 = 155242116943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 155242125135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155242125139) 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 47 ways as a sum of consecutive naturals, for example, 1115017 + ... + 1246493.

It is an arithmetic number, because the mean of its divisors is an integer number (5905334370).

Almost surely, 2155242125135 is an apocalyptic number.

155242125135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

155242125135 is a deficient number, since it is larger than the sum of its proper divisors (128213924625).

155242125135 is a wasteful number, since it uses less digits than its factorization.

155242125135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132888 (or 132885 counting only the distinct ones).

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

Adding to 155242125135 its reverse (531521242551), we get a palindrome (686763367686).

The spelling of 155242125135 in words is "one hundred fifty-five billion, two hundred forty-two million, one hundred twenty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 1381 4143 6905 12429 20715 26239 62145 78717 131195 131477 236151 393585 394431 657385 1180755 1183293 1972155 2498063 5916465 7494189 12490315 22482567 37470945 112412835 181569737 544709211 907848685 1634127633 2723546055 3449825003 8170638165 10349475009 17249125015 31048425027 51747375045 155242125135