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132148314 = 2337013491
BaseRepresentation
bin1111110000001…
…10110001011010
3100012122211102000
413320012301122
5232312221224
621040221430
73163146024
oct770066132
9305584360
10132148314
1168659a91
123830a876
13214bb58c
141379d014
15b9050c9
hex7e06c5a

132148314 has 32 divisors (see below), whose sum is σ = 294166080. Its totient is φ = 43974000.

The previous prime is 132148307. The next prime is 132148337. The reversal of 132148314 is 413841231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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, 36109 + ... + 39599.

It is an arithmetic number, because the mean of its divisors is an integer number (9192690).

Almost surely, 2132148314 is an apocalyptic number.

132148314 is an abundant number, since it is smaller than the sum of its proper divisors (162017766).

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

132148314 is a wasteful number, since it uses less digits than its factorization.

132148314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4197 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 132148314 is about 11495.5780193951. The cubic root of 132148314 is about 509.3549630619.

Adding to 132148314 its reverse (413841231), we get a palindrome (545989545).

It can be divided in two parts, 13214 and 8314, that added together give a triangular number (21528 = T207).

The spelling of 132148314 in words is "one hundred thirty-two million, one hundred forty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 701 1402 2103 3491 4206 6309 6982 10473 12618 18927 20946 31419 37854 62838 94257 188514 2447191 4894382 7341573 14683146 22024719 44049438 66074157 132148314