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145784132 = 2213353313
BaseRepresentation
bin10001011000001…
…11110101000100
3101011022121020022
420230013311010
5244310043012
622244354312
73420100424
oct1054076504
9334277208
10145784132
117532285a
12409a5998
1324284000
141550c484
15cbea472
hex8b07d44

145784132 has 48 divisors (see below), whose sum is σ = 282486960. Its totient is φ = 65804544.

The previous prime is 145784123. The next prime is 145784141. The reversal of 145784132 is 231487541.

145784132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145784123) and next prime (145784141).

It can be written as a sum of positive squares in 8 ways, for example, as 128278276 + 17505856 = 11326^2 + 4184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145784092 and 145784101.

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, 465608 + ... + 465920.

It is an arithmetic number, because the mean of its divisors is an integer number (5885145).

Almost surely, 2145784132 is an apocalyptic number.

It is an amenable number.

145784132 is a deficient number, since it is larger than the sum of its proper divisors (136702828).

145784132 is a wasteful number, since it uses less digits than its factorization.

145784132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 381 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 145784132 is about 12074.1099879039. The cubic root of 145784132 is about 526.3040982294.

The spelling of 145784132 in words is "one hundred forty-five million, seven hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 52 53 106 169 212 313 338 626 676 689 1252 1378 2197 2756 4069 4394 8138 8788 8957 16276 16589 17914 33178 35828 52897 66356 105794 116441 211588 215657 232882 431314 465764 687661 862628 1375322 2750644 2803541 5607082 11214164 36446033 72892066 145784132