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135154400000 = 2855168943
BaseRepresentation
bin111110111011111010…
…1000111101100000000
3110220212010211220011112
41331313311013230000
54203244011300000
6142031123502452
712523152305414
oct1756765075400
9426763756145
10135154400000
1152356154144
122223ab27a28
13c98ba12c69
146781c7cd44
1537b0618235
hex1f77d47b00

135154400000 has 108 divisors (see below), whose sum is σ = 337206479904. Its totient is φ = 54061440000.

The previous prime is 135154399997. The next prime is 135154400027. The reversal of 135154400000 is 4451531.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715529 + ... + 884471.

Almost surely, 2135154400000 is an apocalyptic number.

135154400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135154400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168603239952).

135154400000 is an abundant number, since it is smaller than the sum of its proper divisors (202052079904).

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

135154400000 is an frugal number, since it uses more digits than its factorization.

135154400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168984 (or 168950 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 135154400000 its reverse (4451531), we get a palindrome (135158851531).

The spelling of 135154400000 in words is "one hundred thirty-five billion, one hundred fifty-four million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 16000 20000 25000 32000 40000 50000 80000 100000 160000 168943 200000 337886 400000 675772 800000 844715 1351544 1689430 2703088 3378860 4223575 5406176 6757720 8447150 10812352 13515440 16894300 21117875 21624704 27030880 33788600 42235750 43249408 54061760 67577200 84471500 105589375 108123520 135154400 168943000 211178750 216247040 270308800 337886000 422357500 527946875 540617600 675772000 844715000 1055893750 1081235200 1351544000 1689430000 2111787500 2703088000 3378860000 4223575000 5406176000 6757720000 8447150000 13515440000 16894300000 27030880000 33788600000 67577200000 135154400000