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145336320 = 2113251983
BaseRepresentation
bin10001010100110…
…10100000000000
3101010110211221200
420222122200000
5244201230240
622231021200
73413224023
oct1052324000
9333424850
10145336320
1175047368
124080a800
132415822c
14154331ba
15cb5c930
hex8a9a800

145336320 has 288 divisors, whose sum is σ = 536608800. Its totient is φ = 36274176.

The previous prime is 145336319. The next prime is 145336351. The reversal of 145336320 is 23633541.

It is a happy number.

145336320 is a `hidden beast` number, since 1 + 4 + 5 + 336 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1453363202 = 42245291822284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750999 + ... + 1751081.

It is an arithmetic number, because the mean of its divisors is an integer number (1863225).

Almost surely, 2145336320 is an apocalyptic number.

145336320 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 145336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268304400).

145336320 is an abundant number, since it is smaller than the sum of its proper divisors (391272480).

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

145336320 is a wasteful number, since it uses less digits than its factorization.

145336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 145336320 is about 12055.5514183301. The cubic root of 145336320 is about 525.7646544593.

Adding to 145336320 its reverse (23633541), we get a palindrome (168969861).

It can be divided in two parts, 1453 and 36320, that added together give a palindrome (37773).

The spelling of 145336320 in words is "one hundred forty-five million, three hundred thirty-six thousand, three hundred twenty".