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135754540 = 22540116927
BaseRepresentation
bin10000001011101…
…11001100101100
3100110110001012221
420011313030230
5234223121130
621245405124
73235615555
oct1005671454
9313401187
10135754540
116a6a2439
12395697a4
1322181b3c
141405b32c
15bdb887a
hex817732c

135754540 has 24 divisors (see below), whose sum is σ = 285812352. Its totient is φ = 54163200.

The previous prime is 135754513. The next prime is 135754543. The reversal of 135754540 is 45457531.

It is a super-2 number, since 2×1357545402 = 36858590261223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135754496 and 135754505.

It is not an unprimeable number, because it can be changed into a prime (135754543) 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 7 ways as a sum of consecutive naturals, for example, 444 + ... + 16483.

It is an arithmetic number, because the mean of its divisors is an integer number (11908848).

Almost surely, 2135754540 is an apocalyptic number.

135754540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135754540 is an abundant number, since it is smaller than the sum of its proper divisors (150057812).

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

135754540 is a wasteful number, since it uses less digits than its factorization.

135754540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17337 (or 17335 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 135754540 is about 11651.3750261503. The cubic root of 135754540 is about 513.9467461368.

The spelling of 135754540 in words is "one hundred thirty-five million, seven hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 401 802 1604 2005 4010 8020 16927 33854 67708 84635 169270 338540 6787727 13575454 27150908 33938635 67877270 135754540