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135466656 = 253131929197
BaseRepresentation
bin10000001001100…
…00111010100000
3100102220102022120
420010300322200
5234134413111
621235304240
73233306343
oct1004607240
9312812276
10135466656
116a516116
123944b080
13220b0ab0
1413dc445a
15bd5d406
hex8130ea0

135466656 has 192 divisors, whose sum is σ = 419126400. Its totient is φ = 37933056.

The previous prime is 135466613. The next prime is 135466679. The reversal of 135466656 is 656664531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687550 + ... + 687746.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 2135466656 is an apocalyptic number.

135466656 is a gapful number since it is divisible by the number (16) 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 135466656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

135466656 is an abundant number, since it is smaller than the sum of its proper divisors (283659744).

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

135466656 is a wasteful number, since it uses less digits than its factorization.

135466656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 135466656 is about 11639.0143912618. The cubic root of 135466656 is about 513.5831935184.

It can be divided in two parts, 13546 and 6656, that added together give a palindrome (20202).

The spelling of 135466656 in words is "one hundred thirty-five million, four hundred sixty-six thousand, six hundred fifty-six".