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145542144 = 2103115973
BaseRepresentation
bin10001010110011…
…00110000000000
3101010212022021210
420223030300000
5244224322034
622235250120
73415042056
oct1053146000
9333768253
10145542144
1175177a70
12408a9940
13241cab17
14154881d6
15cb9d8e9
hex8accc00

145542144 has 176 divisors, whose sum is σ = 436256640. Its totient is φ = 42762240.

The previous prime is 145542139. The next prime is 145542197. The reversal of 145542144 is 441245541.

145542144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993692 + ... + 1993764.

Almost surely, 2145542144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218128320).

145542144 is an abundant number, since it is smaller than the sum of its proper divisors (290714496).

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

145542144 is a wasteful number, since it uses less digits than its factorization.

145542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 145542144 is about 12064.0848803380. The cubic root of 145542144 is about 526.0127317924.

Adding to 145542144 its reverse (441245541), we get a palindrome (586787685).

The spelling of 145542144 in words is "one hundred forty-five million, five hundred forty-two thousand, one hundred forty-four".