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135406960 = 24513130199
BaseRepresentation
bin10000001001000…
…10010101110000
3100102210101102121
420010202111300
5234131010320
621234124024
73232640323
oct1004422560
9312711377
10135406960
116a485287
1239420614
132208c880
1413daa7ba
15bd4a8aa
hex8122570

135406960 has 40 divisors (see below), whose sum is σ = 339040800. Its totient is φ = 49996032.

The previous prime is 135406951. The next prime is 135406987. The reversal of 135406960 is 69604531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64060 + ... + 66139.

It is an arithmetic number, because the mean of its divisors is an integer number (8476020).

Almost surely, 2135406960 is an apocalyptic number.

135406960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135406960 is an abundant number, since it is smaller than the sum of its proper divisors (203633840).

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

135406960 is a wasteful number, since it uses less digits than its factorization.

135406960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130225 (or 130219 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 135406960 is about 11636.4496303641. The cubic root of 135406960 is about 513.5077423144.

The spelling of 135406960 in words is "one hundred thirty-five million, four hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 130199 260398 520796 650995 1041592 1301990 1692587 2083184 2603980 3385174 5207960 6770348 8462935 10415920 13540696 16925870 27081392 33851740 67703480 135406960