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145213131421134 = 23271975180768461
BaseRepresentation
bin100001000001001000010001…
…000111010111010111001110
3201001011020110210201122212200
4201001020101013113113032
5123013132443120434014
61232501554105342330
742405205524162660
oct4101102107272716
9631136423648780
10145213131421134
11422a65a7a96a67
121435333ba979a6
13630470248b0ba
1427c04d2b30530
1511bc4d7de3a09
hex8412111d75ce

145213131421134 has 96 divisors (see below), whose sum is σ = 379004392565760. Its totient is φ = 39253471560000.

The previous prime is 145213131421079. The next prime is 145213131421177. The reversal of 145213131421134 is 431124131312541.

145213131421134 is a `hidden beast` number, since 1 + 4 + 5 + 213 + 1 + 3 + 1 + 421 + 13 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38586337 + ... + 42182124.

It is an arithmetic number, because the mean of its divisors is an integer number (3947962422560).

Almost surely, 2145213131421134 is an apocalyptic number.

145213131421134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

145213131421134 is an abundant number, since it is smaller than the sum of its proper divisors (233791261144626).

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

145213131421134 is a wasteful number, since it uses less digits than its factorization.

145213131421134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80769246 (or 80769243 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 145213131421134 its reverse (431124131312541), we get a palindrome (576337262733675).

The spelling of 145213131421134 in words is "one hundred forty-five trillion, two hundred thirteen billion, one hundred thirty-one million, four hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 751 798 1197 1502 2253 2394 4506 5257 6759 10514 13518 14269 15771 28538 31542 42807 47313 85614 94626 99883 128421 199766 256842 299649 599298 898947 1797894 80768461 161536922 242305383 484610766 565379227 726916149 1130758454 1453832298 1534600759 1696137681 3069201518 3392275362 4603802277 5088413043 9207604554 10176826086 10742205313 13811406831 21484410626 27622813662 32226615939 60657114211 64453231878 96679847817 121314228422 181971342633 193359695634 363942685266 424599799477 545914027899 849199598954 1091828055798 1152485170009 1273799398431 2304970340018 2547598796862 3457455510027 3821398195293 6914911020054 7642796390586 8067396190063 10372366530081 16134792380126 20744733060162 24202188570189 48404377140378 72606565710567 145213131421134