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145133340 = 223511972267
BaseRepresentation
bin10001010011010…
…00111100011100
3101010002112111220
420221220330130
5244123231330
622222413340
73411420162
oct1051507434
9333075456
10145133340
1174a18910
1240731250
13240b6a21
14153bd232
15cb1c710
hex8a68f1c

145133340 has 96 divisors (see below), whose sum is σ = 448084224. Its totient is φ = 34805760.

The previous prime is 145133309. The next prime is 145133347. The reversal of 145133340 is 43331541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 145133340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145133347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62887 + ... + 65153.

It is an arithmetic number, because the mean of its divisors is an integer number (4667544).

Almost surely, 2145133340 is an apocalyptic number.

145133340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224042112).

145133340 is an abundant number, since it is smaller than the sum of its proper divisors (302950884).

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

145133340 is a wasteful number, since it uses less digits than its factorization.

145133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 145133340 is about 12047.1299486641. The cubic root of 145133340 is about 525.5197754767.

Adding to 145133340 its reverse (43331541), we get a palindrome (188464881).

The spelling of 145133340 in words is "one hundred forty-five million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2267 2910 3201 4268 4534 5335 5820 6402 6801 9068 10670 11335 12804 13602 16005 21340 22670 24937 27204 32010 34005 45340 49874 64020 68010 74811 99748 124685 136020 149622 219899 249370 299244 374055 439798 498740 659697 748110 879596 1099495 1319394 1496220 2198990 2418889 2638788 3298485 4397980 4837778 6596970 7256667 9675556 12094445 13193940 14513334 24188890 29026668 36283335 48377780 72566670 145133340