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144135800 = 23522924851
BaseRepresentation
bin10001001011101…
…01011001111000
3101001012212010222
420211311121320
5243344321200
622145155212
73400063664
oct1045653170
9331185128
10144135800
11743a73a6
124032bb08
1323b27973
14151dd8a4
15c9c1d85
hex8975678

144135800 has 48 divisors (see below), whose sum is σ = 346685400. Its totient is φ = 55664000.

The previous prime is 144135731. The next prime is 144135811. The reversal of 144135800 is 8531441.

144135800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144135800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6626 + ... + 18225.

Almost surely, 2144135800 is an apocalyptic number.

144135800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144135800 is an abundant number, since it is smaller than the sum of its proper divisors (202549600).

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

144135800 is a wasteful number, since it uses less digits than its factorization.

144135800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24896 (or 24887 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 144135800 is about 12005.6569999313. The cubic root of 144135800 is about 524.3129940562.

The spelling of 144135800 in words is "one hundred forty-four million, one hundred thirty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 24851 49702 99404 124255 198808 248510 497020 621275 720679 994040 1242550 1441358 2485100 2882716 3603395 4970200 5765432 7206790 14413580 18016975 28827160 36033950 72067900 144135800