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146145132 = 223274313487
BaseRepresentation
bin10001011010111…
…11111101101100
3101011222221102200
420231133331230
5244403121012
622300221500
73423133050
oct1055377554
9334887380
10146145132
117554a001
1240b3a890
132437c413
14155a3c60
15cc6c3dc
hex8b5ff6c

146145132 has 72 divisors (see below), whose sum is σ = 432047616. Its totient is φ = 40781664.

The previous prime is 146145121. The next prime is 146145143. The reversal of 146145132 is 231541641.

It is a happy number.

146145132 is a `hidden beast` number, since 14 + 614 + 5 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (146145121) and next prime (146145143).

It is a junction number, because it is equal to n+sod(n) for n = 146145096 and 146145105.

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, 4093 + ... + 17579.

Almost surely, 2146145132 is an apocalyptic number.

146145132 is a gapful number since it is divisible by the number (12) 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 146145132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216023808).

146145132 is an abundant number, since it is smaller than the sum of its proper divisors (285902484).

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

146145132 is a wasteful number, since it uses less digits than its factorization.

146145132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13547 (or 13542 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 146145132 is about 12089.0500867521. The cubic root of 146145132 is about 526.7381627733.

Adding to 146145132 its reverse (231541641), we get a palindrome (377686773).

The spelling of 146145132 in words is "one hundred forty-six million, one hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 13487 26974 40461 53948 80922 94409 121383 161844 188818 242766 283227 377636 485532 566454 579941 849681 1132908 1159882 1699362 1739823 2319764 3398724 3479646 4059587 5219469 6959292 8119174 10438938 12178761 16238348 20877876 24357522 36536283 48715044 73072566 146145132