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135177400 = 23521935573
BaseRepresentation
bin10000000111010…
…10010010111000
3100102100201112101
420003222102320
5234101134100
621225153144
73230663131
oct1003522270
9312321471
10135177400
116a338866
123932b7b4
132200c237
1413d4ac88
15bd0286a
hex80ea4b8

135177400 has 48 divisors (see below), whose sum is σ = 330838200. Its totient is φ = 51223680.

The previous prime is 135177377. The next prime is 135177431. The reversal of 135177400 is 4771531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13987 + ... + 21586.

Almost surely, 2135177400 is an apocalyptic number.

135177400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135177400 is an abundant number, since it is smaller than the sum of its proper divisors (195660800).

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

135177400 is a wasteful number, since it uses less digits than its factorization.

135177400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35608 (or 35599 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 135177400 is about 11626.5816128387. The cubic root of 135177400 is about 513.2173891550.

The spelling of 135177400 in words is "one hundred thirty-five million, one hundred seventy-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 35573 71146 142292 177865 284584 355730 675887 711460 889325 1351774 1422920 1778650 2703548 3379435 3557300 5407096 6758870 7114600 13517740 16897175 27035480 33794350 67588700 135177400