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135147300 = 223523311361
BaseRepresentation
bin10000000111000…
…10111100100100
3100102022012020120
420003202330210
5234044203200
621224401540
73230506311
oct1003427444
9312265216
10135147300
116a318192
12393162b0
1321ccb622
1413d3dd08
15bce89a0
hex80e2f24

135147300 has 72 divisors (see below), whose sum is σ = 392495712. Its totient is φ = 35904000.

The previous prime is 135147289. The next prime is 135147307. The reversal of 135147300 is 3741531.

It is not an unprimeable number, because it can be changed into a prime (135147307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98620 + ... + 99980.

Almost surely, 2135147300 is an apocalyptic number.

135147300 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 135147300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196247856).

135147300 is an abundant number, since it is smaller than the sum of its proper divisors (257348412).

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

135147300 is a wasteful number, since it uses less digits than its factorization.

135147300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 135147300 is about 11625.2870932291. The cubic root of 135147300 is about 513.1792935607.

Adding to 135147300 its reverse (3741531), we get a palindrome (138888831).

The spelling of 135147300 in words is "one hundred thirty-five million, one hundred forty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 331 662 993 1324 1361 1655 1986 2722 3310 3972 4083 4965 5444 6620 6805 8166 8275 9930 13610 16332 16550 19860 20415 24825 27220 33100 34025 40830 49650 68050 81660 99300 102075 136100 204150 408300 450491 900982 1351473 1801964 2252455 2702946 4504910 5405892 6757365 9009820 11262275 13514730 22524550 27029460 33786825 45049100 67573650 135147300