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132131736 = 23351137167
BaseRepresentation
bin1111110000000…
…10101110011000
3100012121222200000
413320002232120
5232311203421
621040013000
73163046502
oct770025630
9305558600
10132131736
1168648590
1238301160
13214b3b79
1413796d72
15b900226
hex7e02b98

132131736 has 192 divisors, whose sum is σ = 418279680. Its totient is φ = 38724480.

The previous prime is 132131729. The next prime is 132131759. The reversal of 132131736 is 637131231.

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

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 47 ways as a sum of consecutive naturals, for example, 791125 + ... + 791291.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2132131736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132131736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

132131736 is an abundant number, since it is smaller than the sum of its proper divisors (286147944).

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

132131736 is a wasteful number, since it uses less digits than its factorization.

132131736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 132131736 is about 11494.8569369088. The cubic root of 132131736 is about 509.3336626522. Note that the first 3 decimals are identical.

Adding to 132131736 its reverse (637131231), we get a palindrome (769262967).

The spelling of 132131736 in words is "one hundred thirty-two million, one hundred thirty-one thousand, seven hundred thirty-six".