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144561132 = 22331778737
BaseRepresentation
bin10001001110111…
…01001111101100
3101002000110121000
420213131033230
5244001424012
622202240300
73403515012
oct1047351754
9332013530
10144561132
1174667a11
12404b6090
1323c46441
14152b08b2
15ca57ddc
hex89dd3ec

144561132 has 48 divisors (see below), whose sum is σ = 396839520. Its totient is φ = 45351936.

The previous prime is 144561127. The next prime is 144561133. The reversal of 144561132 is 231165441.

It is a happy number.

144561132 is a `hidden beast` number, since 1 + 4 + 45 + 611 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144561096 and 144561105.

It is not an unprimeable number, because it can be changed into a prime (144561133) 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, 37533 + ... + 41204.

It is an arithmetic number, because the mean of its divisors is an integer number (8267490).

Almost surely, 2144561132 is an apocalyptic number.

144561132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144561132 is an abundant number, since it is smaller than the sum of its proper divisors (252278388).

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

144561132 is a wasteful number, since it uses less digits than its factorization.

144561132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78767 (or 78759 counting only the distinct ones).

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

The square root of 144561132 is about 12023.3577672795. The cubic root of 144561132 is about 524.8282213516.

The spelling of 144561132 in words is "one hundred forty-four million, five hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 78737 157474 236211 314948 472422 708633 944844 1338529 1417266 2125899 2677058 2834532 4015587 4251798 5354116 8031174 8503596 12046761 16062348 24093522 36140283 48187044 72280566 144561132