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132323136 = 2631162653
BaseRepresentation
bin1111110001100…
…01011101000000
3100012222201012220
413320301131000
5232333320021
621044051040
73164504511
oct770613500
9305881186
10132323136
1168769370
1238393a80
132155001a
1413806a08
15b93bcc6
hex7e31740

132323136 has 56 divisors (see below), whose sum is σ = 381938784. Its totient is φ = 40097280.

The previous prime is 132323131. The next prime is 132323167. The reversal of 132323136 is 631323231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132323131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29215 + ... + 33438.

Almost surely, 2132323136 is an apocalyptic number.

132323136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132323136 is an abundant number, since it is smaller than the sum of its proper divisors (249615648).

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

132323136 is a wasteful number, since it uses less digits than its factorization.

132323136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62679 (or 62669 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 132323136 is about 11503.1793865870. The cubic root of 132323136 is about 509.5794764951.

Adding to 132323136 its reverse (631323231), we get a palindrome (763646367).

The spelling of 132323136 in words is "one hundred thirty-two million, three hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 62653 125306 187959 250612 375918 501224 689183 751836 1002448 1378366 1503672 2004896 2067549 2756732 3007344 4009792 4135098 5513464 6014688 8270196 11026928 12029376 16540392 22053856 33080784 44107712 66161568 132323136