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135755352 = 233569833
BaseRepresentation
bin10000001011101…
…11011001011000
3100110110002100000
420011313121120
5234223132402
621245413000
73235621125
oct1005673130
9313402300
10135755352
116a6a3007
123956a160
1322182315
141405b74c
15bdb8c1c
hex8177658

135755352 has 48 divisors (see below), whose sum is σ = 381293640. Its totient is φ = 45251136.

The previous prime is 135755329. The next prime is 135755357. The reversal of 135755352 is 253557531.

135755352 is a `hidden beast` number, since 1 + 3 + 57 + 553 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135755357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32973 + ... + 36860.

Almost surely, 2135755352 is an apocalyptic number.

135755352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135755352 is an abundant number, since it is smaller than the sum of its proper divisors (245538288).

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

135755352 is an equidigital number, since it uses as much as digits as its factorization.

135755352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69854 (or 69838 counting only the distinct ones).

The product of its digits is 78750, while the sum is 36.

The square root of 135755352 is about 11651.4098717709. The cubic root of 135755352 is about 513.9477708390.

The spelling of 135755352 in words is "one hundred thirty-five million, seven hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 69833 139666 209499 279332 418998 558664 628497 837996 1256994 1675992 1885491 2513988 3770982 5027976 5656473 7541964 11312946 15083928 16969419 22625892 33938838 45251784 67877676 135755352