Search a number
-
+
135725440 = 275316841
BaseRepresentation
bin10000001011100…
…00000110000000
3100110101120022011
420011300012000
5234221203230
621245022304
73235434664
oct1005600600
9313346264
10135725440
116a682594
1239554994
1322171816
14140508a4
15bdaee2a
hex8170180

135725440 has 64 divisors (see below), whose sum is σ = 334984320. Its totient is φ = 52531200.

The previous prime is 135725431. The next prime is 135725449. The reversal of 135725440 is 44527531.

It is an interprime number because it is at equal distance from previous prime (135725431) and next prime (135725449).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135725449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16420 + ... + 23260.

It is an arithmetic number, because the mean of its divisors is an integer number (5234130).

Almost surely, 2135725440 is an apocalyptic number.

135725440 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 135725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167492160).

135725440 is an abundant number, since it is smaller than the sum of its proper divisors (199258880).

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

135725440 is an equidigital number, since it uses as much as digits as its factorization.

135725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6891 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 135725440 is about 11650.1261795742. The cubic root of 135725440 is about 513.9100207375.

The spelling of 135725440 in words is "one hundred thirty-five million, seven hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 6841 9920 13682 19840 27364 34205 54728 68410 109456 136820 212071 218912 273640 424142 437824 547280 848284 875648 1060355 1094560 1696568 2120710 2189120 3393136 4241420 4378240 6786272 8482840 13572544 16965680 27145088 33931360 67862720 135725440