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146514132 = 22324069837
BaseRepresentation
bin10001011101110…
…10000011010100
3101012200200121100
420232322003110
5300001423012
622312150100
73426230622
oct1056720324
9335620540
10146514132
1175781266
1241098330
132447b36b
141565c512
15cce18dc
hex8bba0d4

146514132 has 18 divisors (see below), whose sum is σ = 370355258. Its totient is φ = 48838032.

The previous prime is 146514113. The next prime is 146514167. The reversal of 146514132 is 231415641.

It is a happy number.

146514132 is a `hidden beast` number, since 1 + 4 + 651 + 4 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117418896 + 29095236 = 10836^2 + 5394^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 146514096 and 146514105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2034883 + ... + 2034954.

Almost surely, 2146514132 is an apocalyptic number.

146514132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146514132 is an abundant number, since it is smaller than the sum of its proper divisors (223841126).

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

146514132 is a wasteful number, since it uses less digits than its factorization.

146514132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069847 (or 4069842 counting only the distinct ones).

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

The square root of 146514132 is about 12104.3022103713. The cubic root of 146514132 is about 527.1811083669.

Adding to 146514132 its reverse (231415641), we get a palindrome (377929773).

The spelling of 146514132 in words is "one hundred forty-six million, five hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4069837 8139674 12209511 16279348 24419022 36628533 48838044 73257066 146514132