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135251388 = 223217317129
BaseRepresentation
bin10000000111111…
…00010110111100
3100102111111000200
420003330112330
5234111021023
621230523500
73231421626
oct1003742674
9312444020
10135251388
116a389408
1239366590
1322036b0c
1413d69c16
15bd19743
hex80fc5bc

135251388 has 72 divisors (see below), whose sum is σ = 373726080. Its totient is φ = 41057280.

The previous prime is 135251387. The next prime is 135251393. The reversal of 135251388 is 883152531.

135251388 is a `hidden beast` number, since 13 + 52 + 513 + 88 = 666.

135251388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (135251381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15408 + ... + 22536.

It is an arithmetic number, because the mean of its divisors is an integer number (5190640).

Almost surely, 2135251388 is an apocalyptic number.

135251388 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 135251388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186863040).

135251388 is an abundant number, since it is smaller than the sum of its proper divisors (238474692).

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

135251388 is a wasteful number, since it uses less digits than its factorization.

135251388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187 (or 7182 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 135251388 is about 11629.7630242409. The cubic root of 135251388 is about 513.3110068811.

The spelling of 135251388 in words is "one hundred thirty-five million, two hundred fifty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 7129 9486 14258 18972 21387 28516 42774 64161 85548 121193 128322 220999 242386 256644 363579 441998 484772 662997 727158 883996 1090737 1325994 1454316 1988991 2181474 2651988 3756983 3977982 4362948 7513966 7955964 11270949 15027932 22541898 33812847 45083796 67625694 135251388