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135341388 = 223371347293
BaseRepresentation
bin10000001000100…
…10010101001100
3100102200001111000
420010102111030
5234121411023
621232500300
73232245210
oct1004222514
9312601430
10135341388
116a43aa96
12393aa690
1322068a80
1413d90940
15bd36243
hex811254c

135341388 has 192 divisors, whose sum is σ = 442552320. Its totient is φ = 34815744.

The previous prime is 135341387. The next prime is 135341399. The reversal of 135341388 is 883143531.

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

It is not an unprimeable number, because it can be changed into a prime (135341387) 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, 461770 + ... + 462062.

It is an arithmetic number, because the mean of its divisors is an integer number (2304960).

Almost surely, 2135341388 is an apocalyptic number.

135341388 is a gapful number since it is divisible by the number (18) 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 135341388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221276160).

135341388 is an abundant number, since it is smaller than the sum of its proper divisors (307210932).

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

135341388 is a wasteful number, since it uses less digits than its factorization.

135341388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 135341388 is about 11633.6317631254. The cubic root of 135341388 is about 513.4248387315.

The spelling of 135341388 in words is "one hundred thirty-five million, three hundred forty-one thousand, three hundred eighty-eight".