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135351800 = 23521813739
BaseRepresentation
bin10000001000101…
…00110111111000
3100102200120202122
420010110313320
5234122224200
621233020412
73232320443
oct1004246770
9312616678
10135351800
116a4478a1
12393b4708
132207072c
1413d9465a
15bd39385
hex8114df8

135351800 has 48 divisors (see below), whose sum is σ = 316516200. Its totient is φ = 53827200.

The previous prime is 135351793. The next prime is 135351833. The reversal of 135351800 is 8153531.

It is a self number, because there is not a number n which added to its sum of digits gives 135351800.

It is a congruent number.

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, 34331 + ... + 38069.

Almost surely, 2135351800 is an apocalyptic number.

135351800 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 135351800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158258100).

135351800 is an abundant number, since it is smaller than the sum of its proper divisors (181164400).

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

135351800 is a wasteful number, since it uses less digits than its factorization.

135351800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 135351800 is about 11634.0792502028. The cubic root of 135351800 is about 513.4380045546.

The spelling of 135351800 in words is "one hundred thirty-five million, three hundred fifty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 3620 3739 4525 7240 7478 9050 14956 18100 18695 29912 36200 37390 74780 93475 149560 186950 373900 676759 747800 1353518 2707036 3383795 5414072 6767590 13535180 16918975 27070360 33837950 67675900 135351800