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134203152400 = 24521606320887
BaseRepresentation
bin111110011111100100…
…0011001100000010000
3110211101211220111202221
41330333020121200100
54144322001334100
6141352503150424
712460451654662
oct1747710314020
9424354814687
10134203152400
1151a081a97a9
1222014445414
13c869915365
1466d17c2532
153756d6701a
hex1f3f219810

134203152400 has 60 divisors (see below), whose sum is σ = 322458583552. Its totient is φ = 53675349120.

The previous prime is 134203152389. The next prime is 134203152401. The reversal of 134203152400 is 4251302431.

It is a super-2 number, since 2×1342031524002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (134203152401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6414757 + ... + 6435643.

Almost surely, 2134203152400 is an apocalyptic number.

134203152400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134203152400 is an abundant number, since it is smaller than the sum of its proper divisors (188255431152).

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

134203152400 is a wasteful number, since it uses less digits than its factorization.

134203152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36968 (or 36957 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 134203152400 its reverse (4251302431), we get a palindrome (138454454831).

The spelling of 134203152400 in words is "one hundred thirty-four billion, two hundred three million, one hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 16063 20887 32126 41774 64252 80315 83548 104435 128504 160630 167096 208870 257008 321260 334192 401575 417740 522175 642520 803150 835480 1044350 1285040 1606300 1670960 2088700 3212600 4177400 6425200 8354800 335507881 671015762 1342031524 1677539405 2684063048 3355078810 5368126096 6710157620 8387697025 13420315240 16775394050 26840630480 33550788100 67101576200 134203152400