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135474660 = 223352941211
BaseRepresentation
bin10000001001100…
…10110111100100
3100102220211022000
420010302313210
5234140142120
621235405300
73233341566
oct1004626744
9312824260
10135474660
116a521132
1239453830
13220b4629
1413dc7336
15bd60990
hex8132de4

135474660 has 192 divisors, whose sum is σ = 448761600. Its totient is φ = 33868800.

The previous prime is 135474653. The next prime is 135474667. The reversal of 135474660 is 66474531.

It is a happy number.

135474660 is a `hidden beast` number, since 13 + 547 + 46 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (135474653) and next prime (135474667).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135474667) 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, 641955 + ... + 642165.

It is an arithmetic number, because the mean of its divisors is an integer number (2337300).

Almost surely, 2135474660 is an apocalyptic number.

135474660 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 135474660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224380800).

135474660 is an abundant number, since it is smaller than the sum of its proper divisors (313286940).

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

135474660 is a wasteful number, since it uses less digits than its factorization.

135474660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 135474660 is about 11639.3582297307. The cubic root of 135474660 is about 513.5933082804.

The spelling of 135474660 in words is "one hundred thirty-five million, four hundred seventy-four thousand, six hundred sixty".