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135245792 = 25112913249
BaseRepresentation
bin10000000111110…
…10111111100000
3100102111012100102
420003322333200
5234110331132
621230441532
73231366413
oct1003727740
9312435312
10135245792
116a385190
12393632a8
13220343c6
1413d67b7a
15bd17c62
hex80fafe0

135245792 has 48 divisors (see below), whose sum is σ = 300510000. Its totient is φ = 59351040.

The previous prime is 135245791. The next prime is 135245801. The reversal of 135245792 is 297542531.

135245792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135245791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3584 + ... + 16832.

It is an arithmetic number, because the mean of its divisors is an integer number (6260625).

Almost surely, 2135245792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135245792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150255000).

135245792 is an abundant number, since it is smaller than the sum of its proper divisors (165264208).

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

135245792 is a wasteful number, since it uses less digits than its factorization.

135245792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299 (or 13291 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 135245792 is about 11629.5224321552. The cubic root of 135245792 is about 513.3039274023.

The spelling of 135245792 in words is "one hundred thirty-five million, two hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208 13249 26498 52996 105992 145739 211984 291478 384221 423968 582956 768442 1165912 1536884 2331824 3073768 4226431 4663648 6147536 8452862 12295072 16905724 33811448 67622896 135245792