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135756252 = 22323771007
BaseRepresentation
bin10000001011101…
…11100111011100
3100110110010120100
420011313213130
5234223200002
621245421100
73235623552
oct1005674734
9313403510
10135756252
116a6a3755
123956a790
1322182858
141405bbd2
15bdb911c
hex81779dc

135756252 has 18 divisors (see below), whose sum is σ = 343161728. Its totient is φ = 45252072.

The previous prime is 135756251. The next prime is 135756259. The reversal of 135756252 is 252657531.

135756252 is a `hidden beast` number, since 1 + 357 + 56 + 252 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3771007 = 135756252 / (1 + 3 + 5 + 7 + 5 + 6 + 2 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135756251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1885468 + ... + 1885539.

Almost surely, 2135756252 is an apocalyptic number.

135756252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135756252 is an abundant number, since it is smaller than the sum of its proper divisors (207405476).

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

135756252 is a wasteful number, since it uses less digits than its factorization.

135756252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771017 (or 3771012 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 135756252 is about 11651.4484936423. The cubic root of 135756252 is about 513.9489065879.

The spelling of 135756252 in words is "one hundred thirty-five million, seven hundred fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3771007 7542014 11313021 15084028 22626042 33939063 45252084 67878126 135756252