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134144190 = 23252935087
BaseRepresentation
bin1111111111011…
…10000010111110
3100100102020020100
413333232002332
5233320103230
621151101530
73216130635
oct777560276
9310366210
10134144190
11697a2574
1238b118a6
1321a39b7b
1413b5c51c
15bb9b660
hex7fee0be

134144190 has 48 divisors (see below), whose sum is σ = 350034048. Its totient is φ = 35642688.

The previous prime is 134144183. The next prime is 134144191. The reversal of 134144190 is 91441431.

134144190 is a `hidden beast` number, since 134 + 1 + 441 + 90 = 666.

It is a super-2 number, since 2×1341441902 = 35989327421512200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134144191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23827 + ... + 28913.

It is an arithmetic number, because the mean of its divisors is an integer number (7292376).

Almost surely, 2134144190 is an apocalyptic number.

134144190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134144190 is an abundant number, since it is smaller than the sum of its proper divisors (215889858).

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

134144190 is a wasteful number, since it uses less digits than its factorization.

134144190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134144190 is about 11582.0632876876. The cubic root of 134144190 is about 511.9064745145.

The spelling of 134144190 in words is "one hundred thirty-four million, one hundred forty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5087 5274 8790 10174 13185 15261 25435 26370 30522 45783 50870 76305 91566 152610 228915 457830 1490491 2980982 4471473 7452455 8942946 13414419 14904910 22357365 26828838 44714730 67072095 134144190