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146354131 = 72111931461
BaseRepresentation
bin10001011100100…
…10111111010011
3101012101120010101
420232102333103
5244431313011
622304513231
73424663300
oct1056227723
9335346111
10146354131
1175682030
124101b817
13244235a1
141561a0a7
15ccae2c1
hex8b92fd3

146354131 has 48 divisors (see below), whose sum is σ = 202245120. Its totient is φ = 104328000.

The previous prime is 146354119. The next prime is 146354137. The reversal of 146354131 is 131453641.

It is not a de Polignac number, because 146354131 - 29 = 146353619 is a prime.

It is a super-2 number, since 2×1463541312 = 42839063321530322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146354131.

It is not an unprimeable number, because it can be changed into a prime (146354137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317241 + ... + 317701.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2146354131 is an apocalyptic number.

146354131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146354131 is a deficient number, since it is larger than the sum of its proper divisors (55890989).

146354131 is a wasteful number, since it uses less digits than its factorization.

146354131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 529 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 146354131 is about 12097.6911433546. The cubic root of 146354131 is about 526.9891354682.

The spelling of 146354131 in words is "one hundred forty-six million, three hundred fifty-four thousand, one hundred thirty-one".

Divisors: 1 7 11 19 31 49 77 133 209 217 341 461 539 589 931 1463 1519 2387 3227 4123 5071 6479 8759 10241 14291 16709 22589 28861 35497 45353 61313 96349 100037 157201 248479 271529 317471 429191 674443 700259 1100407 1900703 2986819 4721101 7702849 13304921 20907733 146354131