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132144342 = 2311316547
BaseRepresentation
bin1111110000001…
…01110011010110
3100012122121221220
413320011303112
5232312104332
621040151210
73163131321
oct770056326
9305577856
10132144342
1168657000
1238308506
13214b9825
141379b7b8
15b903d2c
hex7e05cd6

132144342 has 32 divisors (see below), whose sum is σ = 290715264. Its totient is φ = 40041320.

The previous prime is 132144293. The next prime is 132144371. The reversal of 132144342 is 243441231.

It is a super-2 number, since 2×1321443422 = 34924254245225928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288 + ... + 16259.

It is an arithmetic number, because the mean of its divisors is an integer number (9084852).

Almost surely, 2132144342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145357632).

132144342 is an abundant number, since it is smaller than the sum of its proper divisors (158570922).

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

132144342 is a wasteful number, since it uses less digits than its factorization.

132144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16585 (or 16563 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 132144342 is about 11495.4052560142. The cubic root of 132144342 is about 509.3498597601.

Adding to 132144342 its reverse (243441231), we get a palindrome (375585573).

The spelling of 132144342 in words is "one hundred thirty-two million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7986 16547 33094 49641 99282 182017 364034 546051 1092102 2002187 4004374 6006561 12013122 22024057 44048114 66072171 132144342