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135245240 = 235131791453
BaseRepresentation
bin10000000111110…
…10110110111000
3100102111011120222
420003322312320
5234110321430
621230435212
73231364664
oct1003726670
9312434528
10135245240
116a384829
1239362b08
1322034090
1413d678a4
15bd179e5
hex80fadb8

135245240 has 64 divisors (see below), whose sum is σ = 329767200. Its totient is φ = 49623552.

The previous prime is 135245237. The next prime is 135245261. The reversal of 135245240 is 42542531.

It is a happy number.

135245240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92354 + ... + 93806.

Almost surely, 2135245240 is an apocalyptic number.

135245240 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 135245240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164883600).

135245240 is an abundant number, since it is smaller than the sum of its proper divisors (194521960).

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

135245240 is a wasteful number, since it uses less digits than its factorization.

135245240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 135245240 is about 11629.4986994281. The cubic root of 135245240 is about 513.3032290586.

Adding to 135245240 its reverse (42542531), we get a palindrome (177787771).

The spelling of 135245240 in words is "one hundred thirty-five million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 179 260 358 520 716 895 1432 1453 1790 2327 2906 3580 4654 5812 7160 7265 9308 11624 11635 14530 18616 18889 23270 29060 37778 46540 58120 75556 93080 94445 151112 188890 260087 377780 520174 755560 1040348 1300435 2080696 2600870 3381131 5201740 6762262 10403480 13524524 16905655 27049048 33811310 67622620 135245240