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135204660 = 223353767101
BaseRepresentation
bin10000000111100…
…00111100110100
3100102102002221000
420003300330310
5234103022120
621225523300
73231135453
oct1003607464
9312362830
10135204660
116a357298
1239343530
132201b776
1413d56b9a
15bd0a990
hex80f0f34

135204660 has 192 divisors, whose sum is σ = 442794240. Its totient is φ = 34214400.

The previous prime is 135204659. The next prime is 135204679. The reversal of 135204660 is 66402531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1338610 + ... + 1338710.

It is an arithmetic number, because the mean of its divisors is an integer number (2306220).

Almost surely, 2135204660 is an apocalyptic number.

135204660 is a gapful number since it is divisible by the number (10) 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 135204660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221397120).

135204660 is an abundant number, since it is smaller than the sum of its proper divisors (307589580).

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

135204660 is a wasteful number, since it uses less digits than its factorization.

135204660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135204660 is about 11627.7538673641. The cubic root of 135204660 is about 513.2518854680.

The spelling of 135204660 in words is "one hundred thirty-five million, two hundred four thousand, six hundred sixty".