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135350460 = 22335761587
BaseRepresentation
bin10000001000101…
…00100010111100
3100102200111221000
420010110202330
5234122203320
621233010300
73232313520
oct1004244274
9312614830
10135350460
116a446893
12393b3990
132206cc3b
1413d93d80
15bd38c90
hex81148bc

135350460 has 192 divisors, whose sum is σ = 489968640. Its totient is φ = 30378240.

The previous prime is 135350419. The next prime is 135350461. The reversal of 135350460 is 64053531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135350461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230287 + ... + 230873.

It is an arithmetic number, because the mean of its divisors is an integer number (2551920).

Almost surely, 2135350460 is an apocalyptic number.

135350460 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 135350460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244984320).

135350460 is an abundant number, since it is smaller than the sum of its proper divisors (354618180).

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

135350460 is a wasteful number, since it uses less digits than its factorization.

135350460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135350460 is about 11634.0216606297. The cubic root of 135350460 is about 513.4363101819.

The spelling of 135350460 in words is "one hundred thirty-five million, three hundred fifty thousand, four hundred sixty".