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135655000 = 2354132087
BaseRepresentation
bin10000001010111…
…10111001011000
3100110020222200021
420011132321120
5234211430000
621243320224
73235022425
oct1005367130
9313228607
10135655000
116a634678
1239520074
1322148740
1414032d4c
15bd9911a
hex815ee58

135655000 has 80 divisors (see below), whose sum is σ = 342452880. Its totient is φ = 50064000.

The previous prime is 135654991. The next prime is 135655001. The reversal of 135655000 is 556531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135655001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63957 + ... + 66043.

It is an arithmetic number, because the mean of its divisors is an integer number (4280661).

Almost surely, 2135655000 is an apocalyptic number.

135655000 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 135655000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171226440).

135655000 is an abundant number, since it is smaller than the sum of its proper divisors (206797880).

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

135655000 is a wasteful number, since it uses less digits than its factorization.

135655000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 135655000 is about 11647.1026440055. The cubic root of 135655000 is about 513.8211008167.

The spelling of 135655000 in words is "one hundred thirty-five million, six hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2087 2500 2600 3250 4174 5000 6500 8125 8348 10435 13000 16250 16696 20870 27131 32500 41740 52175 54262 65000 83480 104350 108524 135655 208700 217048 260875 271310 417400 521750 542620 678275 1043500 1085240 1304375 1356550 2087000 2608750 2713100 3391375 5217500 5426200 6782750 10435000 13565500 16956875 27131000 33913750 67827500 135655000