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132144054 = 23719715971
BaseRepresentation
bin1111110000001…
…01101110110110
3100012122121120020
413320011232312
5232312102204
621040150010
73163130430
oct770055666
9305577506
10132144054
1168656869
1238308306
13214b9663
141379b650
15b903bd9
hex7e05bb6

132144054 has 32 divisors (see below), whose sum is σ = 303595776. Its totient is φ = 37561440.

The previous prime is 132144029. The next prime is 132144059. The reversal of 132144054 is 450441231.

132144054 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132144059) 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, 289 + ... + 16259.

It is an arithmetic number, because the mean of its divisors is an integer number (9487368).

Almost surely, 2132144054 is an apocalyptic number.

132144054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132144054 is an abundant number, since it is smaller than the sum of its proper divisors (171451722).

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

132144054 is a wasteful number, since it uses less digits than its factorization.

132144054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16180.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 132144054 is about 11495.3927292633. The cubic root of 132144054 is about 509.3494897282.

Adding to 132144054 its reverse (450441231), we get a palindrome (582585285).

The spelling of 132144054 in words is "one hundred thirty-two million, one hundred forty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 197 394 591 1182 1379 2758 4137 8274 15971 31942 47913 95826 111797 223594 335391 670782 3146287 6292574 9438861 18877722 22024009 44048018 66072027 132144054