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135533214400 = 265284708259
BaseRepresentation
bin111111000111001101…
…0001011101011000000
3110221211112122122211111
41332032122023223000
54210033000330100
6142132455053104
712535432212523
oct1761632135300
9427745578744
10135533214400
115252aa69aa1
1222325971194
13ca1c3475ac
1467ba2cabba
1537d39e46ba
hex1f8e68bac0

135533214400 has 42 divisors (see below), whose sum is σ = 333496419620. Its totient is φ = 54213285120.

The previous prime is 135533214359. The next prime is 135533214457. The reversal of 135533214400 is 4412335531.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 42352530 + ... + 42355729.

Almost surely, 2135533214400 is an apocalyptic number.

135533214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135533214400 is an abundant number, since it is smaller than the sum of its proper divisors (197963205220).

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

135533214400 is an equidigital number, since it uses as much as digits as its factorization.

135533214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84708281 (or 84708266 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 135533214400 its reverse (4412335531), we get a palindrome (139945549931).

The spelling of 135533214400 in words is "one hundred thirty-five billion, five hundred thirty-three million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 84708259 169416518 338833036 423541295 677666072 847082590 1355332144 1694165180 2117706475 2710664288 3388330360 4235412950 5421328576 6776660720 8470825900 13553321440 16941651800 27106642880 33883303600 67766607200 135533214400