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132514648 = 23743113487
BaseRepresentation
bin1111110011000…
…00001101011000
3100020100102220221
413321200031120
5232410432043
621052125424
73166233040
oct771401530
9306312827
10132514648
116888a242
1238466874
13215b9246
1413856720
15b9788ed
hex7e60358

132514648 has 64 divisors (see below), whose sum is σ = 293736960. Its totient is φ = 54867456.

The previous prime is 132514639. The next prime is 132514651. The reversal of 132514648 is 846415231.

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 15 ways as a sum of consecutive naturals, for example, 271861 + ... + 272347.

It is an arithmetic number, because the mean of its divisors is an integer number (4589640).

Almost surely, 2132514648 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 132514648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146868480).

132514648 is an abundant number, since it is smaller than the sum of its proper divisors (161222312).

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

132514648 is a wasteful number, since it uses less digits than its factorization.

132514648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 132514648 is about 11511.5006840985. The cubic root of 132514648 is about 509.8251970454.

Adding to 132514648 its reverse (846415231), we get a palindrome (978929879).

The spelling of 132514648 in words is "one hundred thirty-two million, five hundred fourteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 113 172 226 301 344 452 487 602 791 904 974 1204 1582 1948 2408 3164 3409 3896 4859 6328 6818 9718 13636 19436 20941 27272 34013 38872 41882 55031 68026 83764 110062 136052 146587 167528 220124 272104 293174 385217 440248 586348 770434 1172696 1540868 2366333 3081736 4732666 9465332 16564331 18930664 33128662 66257324 132514648