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145197126 = 23219457929
BaseRepresentation
bin10001010011110…
…00100001000110
3101010012210000100
420221320201012
5244132302001
622224024530
73412104144
oct1051704106
9333183010
10145197126
1174a61828
1240762146
1324109a79
14153d8594
15cb31586
hex8a78846

145197126 has 48 divisors (see below), whose sum is σ = 332233200. Its totient is φ = 45702144.

The previous prime is 145197109. The next prime is 145197127. The reversal of 145197126 is 621791541.

145197126 is a `hidden beast` number, since 14 + 519 + 7 + 126 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145197127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 155830 + ... + 156758.

It is an arithmetic number, because the mean of its divisors is an integer number (6921525).

Almost surely, 2145197126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145197126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166116600).

145197126 is an abundant number, since it is smaller than the sum of its proper divisors (187036074).

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

145197126 is a wasteful number, since it uses less digits than its factorization.

145197126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1410 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 145197126 is about 12049.7770103849. Note that the first 3 decimals coincide. The cubic root of 145197126 is about 525.5967527235.

The spelling of 145197126 in words is "one hundred forty-five million, one hundred ninety-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 457 914 929 1371 1858 2742 2787 4113 5574 8226 8361 8683 16722 17366 17651 26049 35302 52098 52953 78147 105906 156294 158859 317718 424553 849106 1273659 2547318 3820977 7641954 8066507 16133014 24199521 48399042 72598563 145197126