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145332140 = 225191812113
BaseRepresentation
bin10001010100110…
…01011110101100
3101010110122012212
420222121132230
5244201112030
622230545552
73413205602
oct1052313654
9333418185
10145332140
1175044208
12408082b8
1324156365
1415431872
15cb5b595
hex8a997ac

145332140 has 48 divisors (see below), whose sum is σ = 323188320. Its totient is φ = 54743040.

The previous prime is 145332127. The next prime is 145332149. The reversal of 145332140 is 41233541.

145332140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453321402 = 42242861833959200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145332149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67724 + ... + 69836.

It is an arithmetic number, because the mean of its divisors is an integer number (6733090).

Almost surely, 2145332140 is an apocalyptic number.

145332140 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 145332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161594160).

145332140 is an abundant number, since it is smaller than the sum of its proper divisors (177856180).

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

145332140 is a wasteful number, since it uses less digits than its factorization.

145332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 145332140 is about 12055.3780529687. The cubic root of 145332140 is about 525.7596139268.

Adding to 145332140 its reverse (41233541), we get a palindrome (186565681).

The spelling of 145332140 in words is "one hundred forty-five million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 181 190 362 380 724 905 1810 2113 3439 3620 4226 6878 8452 10565 13756 17195 21130 34390 40147 42260 68780 80294 160588 200735 382453 401470 764906 802940 1529812 1912265 3824530 7266607 7649060 14533214 29066428 36333035 72666070 145332140