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135432552 = 23329316277
BaseRepresentation
bin10000001001010…
…00100101101000
3100102211200112110
420010220211220
5234132320202
621234442320
73233105043
oct1004504550
9312750473
10135432552
116a4a2532
12394333a0
132209b408
1413db5c5a
15bd5326c
hex8128968

135432552 has 64 divisors (see below), whose sum is σ = 361612800. Its totient is φ = 42174720.

The previous prime is 135432547. The next prime is 135432559. The reversal of 135432552 is 255234531.

It is a super-2 number, since 2×1354325522 = 36683952282465408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135432559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18438 + ... + 24714.

It is an arithmetic number, because the mean of its divisors is an integer number (5650200).

Almost surely, 2135432552 is an apocalyptic number.

135432552 is a gapful number since it is divisible by the number (12) 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 135432552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180806400).

135432552 is an abundant number, since it is smaller than the sum of its proper divisors (226180248).

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

135432552 is a wasteful number, since it uses less digits than its factorization.

135432552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6342 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 135432552 is about 11637.5492265339. The cubic root of 135432552 is about 513.5400913712.

The spelling of 135432552 in words is "one hundred thirty-five million, four hundred thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1798 2697 3596 5394 6277 7192 10788 12554 18831 21576 25108 37662 50216 75324 150648 182033 194587 364066 389174 546099 583761 728132 778348 1092198 1167522 1456264 1556696 2184396 2335044 4368792 4670088 5643023 11286046 16929069 22572092 33858138 45144184 67716276 135432552