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135101754 = 232172511759
BaseRepresentation
bin10000000110101…
…11110100111010
3100102012212202200
420003113310322
5234041224004
621223411030
73230226444
oct1003276472
9312185680
10135101754
116a296a47
12392b3a76
1321cb3988
1413d2b494
15bcda239
hex80d7d3a

135101754 has 48 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 42192000.

The previous prime is 135101713. The next prime is 135101777. The reversal of 135101754 is 457101531.

135101754 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75927 + ... + 77685.

It is an arithmetic number, because the mean of its divisors is an integer number (6486480).

Almost surely, 2135101754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135101754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

135101754 is an abundant number, since it is smaller than the sum of its proper divisors (176249286).

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

135101754 is a wasteful number, since it uses less digits than its factorization.

135101754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 135101754 is about 11623.3280087934. The cubic root of 135101754 is about 513.1216382215.

The spelling of 135101754 in words is "one hundred thirty-five million, one hundred one thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 251 306 502 753 1506 1759 2259 3518 4267 4518 5277 8534 10554 12801 15831 25602 29903 31662 38403 59806 76806 89709 179418 269127 441509 538254 883018 1324527 2649054 3973581 7505653 7947162 15011306 22516959 45033918 67550877 135101754