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145001340 = 223451179103
BaseRepresentation
bin10001010010010…
…00101101111100
3101002211211110000
420221020231330
5244110020330
622215514300
73410330301
oct1051105574
9332754400
10145001340
1174938720
1240688990
132406b913
14153870a8
15cae3560
hex8a48b7c

145001340 has 240 divisors, whose sum is σ = 507386880. Its totient is φ = 34369920.

The previous prime is 145001317. The next prime is 145001341. The reversal of 145001340 is 43100541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145001341) 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 79 ways as a sum of consecutive naturals, for example, 1407729 + ... + 1407831.

It is an arithmetic number, because the mean of its divisors is an integer number (2114112).

Almost surely, 2145001340 is an apocalyptic number.

145001340 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 145001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253693440).

145001340 is an abundant number, since it is smaller than the sum of its proper divisors (362385540).

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

145001340 is a wasteful number, since it uses less digits than its factorization.

145001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 145001340 is about 12041.6502191352. The cubic root of 145001340 is about 525.3604055909.

Adding to 145001340 its reverse (43100541), we get a palindrome (188101881).

The spelling of 145001340 in words is "one hundred forty-five million, one thousand, three hundred forty".