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149256135 = 3357592677
BaseRepresentation
bin10001110010101…
…11011111000111
3101101211222221000
420321113133013
5301202144020
622451024343
73461441040
oct1071273707
9341758830
10149256135
1177284386
1241b9b0b3
1324bcb452
1415b738c7
15d184090
hex8e577c7

149256135 has 64 divisors (see below), whose sum is σ = 308505600. Its totient is φ = 67049856.

The previous prime is 149256089. The next prime is 149256179. The reversal of 149256135 is 531652941.

149256135 is a `hidden beast` number, since 1 + 4 + 92 + 561 + 3 + 5 = 666.

It is not a de Polignac number, because 149256135 - 27 = 149256007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 149256135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54417 + ... + 57093.

It is an arithmetic number, because the mean of its divisors is an integer number (4820400).

Almost surely, 2149256135 is an apocalyptic number.

149256135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

149256135 is an abundant number, since it is smaller than the sum of its proper divisors (159249465).

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

149256135 is a wasteful number, since it uses less digits than its factorization.

149256135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2751 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 149256135 is about 12217.0428091253. The cubic root of 149256135 is about 530.4495236922.

The spelling of 149256135 in words is "one hundred forty-nine million, two hundred fifty-six thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 59 63 105 135 177 189 295 315 413 531 885 945 1239 1593 2065 2655 2677 3717 6195 7965 8031 11151 13385 18585 18739 24093 40155 55755 56217 72279 93695 120465 157943 168651 281085 361395 473829 505953 789715 843255 1105601 1421487 2369145 2529765 3316803 4264461 5528005 7107435 9950409 16584015 21322305 29851227 49752045 149256135