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132531144 = 2335522131
BaseRepresentation
bin1111110011001…
…00001111001000
3100020101021112220
413321210033020
5232411444034
621052334040
73166332114
oct771441710
9306337486
10132531144
11688a0679
1238474320
13215c38c5
141385c744
15b97d749
hex7e643c8

132531144 has 16 divisors (see below), whose sum is σ = 331327920. Its totient is φ = 44177040.

The previous prime is 132531143. The next prime is 132531149. The reversal of 132531144 is 441135231.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5522131 = 132531144 / (1 + 3 + 2 + 5 + 3 + 1 + 1 + 4 + 4).

It is not an unprimeable number, because it can be changed into a prime (132531143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2761042 + ... + 2761089.

It is an arithmetic number, because the mean of its divisors is an integer number (20707995).

Almost surely, 2132531144 is an apocalyptic number.

It is an amenable number.

132531144 is an abundant number, since it is smaller than the sum of its proper divisors (198796776).

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

132531144 is a wasteful number, since it uses less digits than its factorization.

132531144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522140 (or 5522136 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 132531144 is about 11512.2171626494. The cubic root of 132531144 is about 509.8463512540.

Adding to 132531144 its reverse (441135231), we get a palindrome (573666375).

The spelling of 132531144 in words is "one hundred thirty-two million, five hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 5522131 11044262 16566393 22088524 33132786 44177048 66265572 132531144