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135233388 = 22353732
BaseRepresentation
bin10000000111101…
…11111101101100
3100102110120100000
420003313331230
5234104432023
621230304300
73231315303
oct1003677554
9312416300
10135233388
116a376934
1239358090
132202b874
1413d6343a
15bd14243
hex80f7f6c

135233388 has 54 divisors (see below), whose sum is σ = 355453644. Its totient is φ = 44956944.

The previous prime is 135233387. The next prime is 135233389. The reversal of 135233388 is 883332531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (135233387) and next prime (135233389).

It is a tau number, because it is divible by the number of its divisors (54).

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 (135233381) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 362370 + ... + 362742.

Almost surely, 2135233388 is an apocalyptic number.

135233388 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 135233388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177726822).

135233388 is an abundant number, since it is smaller than the sum of its proper divisors (220220256).

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

135233388 is an frugal number, since it uses more digits than its factorization.

135233388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 378 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 135233388 is about 11628.9891220174. The cubic root of 135233388 is about 513.2882344518.

The spelling of 135233388 in words is "one hundred thirty-five million, two hundred thirty-three thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 373 486 746 972 1119 1492 2238 3357 4476 6714 10071 13428 20142 30213 40284 60426 90639 120852 139129 181278 278258 362556 417387 556516 834774 1252161 1669548 2504322 3756483 5008644 7512966 11269449 15025932 22538898 33808347 45077796 67616694 135233388