Search a number
-
+
135025440 = 253511107239
BaseRepresentation
bin10000000110001…
…01001100100000
3100102002000002020
420003011030200
5234031303230
621222021440
73226461114
oct1003051440
9312060066
10135025440
116a244680
1239277880
1321c88014
1413d0b744
15bcc2810
hex80c5320

135025440 has 192 divisors, whose sum is σ = 470292480. Its totient is φ = 32291840.

The previous prime is 135025403. The next prime is 135025447. The reversal of 135025440 is 44520531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135025440.

It is not an unprimeable number, because it can be changed into a prime (135025447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564841 + ... + 565079.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2135025440 is an apocalyptic number.

135025440 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 135025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146240).

135025440 is an abundant number, since it is smaller than the sum of its proper divisors (335267040).

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

135025440 is a wasteful number, since it uses less digits than its factorization.

135025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 135025440 is about 11620.0447503441. The cubic root of 135025440 is about 513.0250055258.

Adding to 135025440 its reverse (44520531), we get a palindrome (179545971).

The spelling of 135025440 in words is "one hundred thirty-five million, twenty-five thousand, four hundred forty".