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145140144 = 24319715349
BaseRepresentation
bin10001010011010…
…10100110110000
3101010002212211220
420221222212300
5244123441034
622222505040
73411446052
oct1051524660
9333085756
10145140144
1174a22a36
1240735180
13240b9b56
14153c18d2
15cb1e749
hex8a6a9b0

145140144 has 40 divisors (see below), whose sum is σ = 376873200. Its totient is φ = 48131328.

The previous prime is 145140139. The next prime is 145140161. The reversal of 145140144 is 441041541.

145140144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1451401442 = 42131322800681472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1782 + ... + 17130.

It is an arithmetic number, because the mean of its divisors is an integer number (9421830).

Almost surely, 2145140144 is an apocalyptic number.

It is an amenable number.

145140144 is an abundant number, since it is smaller than the sum of its proper divisors (231733056).

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

145140144 is a wasteful number, since it uses less digits than its factorization.

145140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15557 (or 15551 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 145140144 is about 12047.4123362654. The cubic root of 145140144 is about 525.5279876506.

Adding to 145140144 its reverse (441041541), we get a palindrome (586181685).

The spelling of 145140144 in words is "one hundred forty-five million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 394 591 788 1182 1576 2364 3152 4728 9456 15349 30698 46047 61396 92094 122792 184188 245584 368376 736752 3023753 6047506 9071259 12095012 18142518 24190024 36285036 48380048 72570072 145140144