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135871900 = 22522695051
BaseRepresentation
bin10000001100100…
…11110110011100
3100110200000012121
420012103312130
5234240400100
621252112324
73236614663
oct1006236634
9313600177
10135871900
116a77262a
12396056a4
13221c3398
141408bdda
15bddd51a
hex8193d9c

135871900 has 36 divisors (see below), whose sum is σ = 295996680. Its totient is φ = 54136000.

The previous prime is 135871891. The next prime is 135871903. The reversal of 135871900 is 9178531.

It is a happy number.

It is a super-2 number, since 2×1358719002 = 36922346419220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135871903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24375 + ... + 29425.

It is an arithmetic number, because the mean of its divisors is an integer number (8222130).

Almost surely, 2135871900 is an apocalyptic number.

135871900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135871900 is an abundant number, since it is smaller than the sum of its proper divisors (160124780).

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

135871900 is a wasteful number, since it uses less digits than its factorization.

135871900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 135871900 is about 11656.4102535901. The cubic root of 135871900 is about 514.0948060523.

The spelling of 135871900 in words is "one hundred thirty-five million, eight hundred seventy-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 2690 5051 5380 6725 10102 13450 20204 25255 26900 50510 101020 126275 252550 505100 1358719 2717438 5434876 6793595 13587190 27174380 33967975 67935950 135871900