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132625168 = 24131937907
BaseRepresentation
bin1111110011110…
…11001100010000
3100020120001112021
413321323030100
5232423001133
621054341224
73200203204
oct771731420
9306501467
10132625168
1168955285
12384ba814
1321627640
1413884b04
15b99b52d
hex7e7b310

132625168 has 80 divisors (see below), whose sum is σ = 299494720. Its totient is φ = 56360448.

The previous prime is 132625151. The next prime is 132625183. The reversal of 132625168 is 861526231.

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, 145771 + ... + 146677.

It is an arithmetic number, because the mean of its divisors is an integer number (3743684).

Almost surely, 2132625168 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 132625168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149747360).

132625168 is an abundant number, since it is smaller than the sum of its proper divisors (166869552).

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

132625168 is a wasteful number, since it uses less digits than its factorization.

132625168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 132625168 is about 11516.3001002926. The cubic root of 132625168 is about 509.9668926349.

The spelling of 132625168 in words is "one hundred thirty-two million, six hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 37 38 52 74 76 104 148 152 208 247 296 304 481 494 592 703 907 962 988 1406 1814 1924 1976 2812 3628 3848 3952 5624 7256 7696 9139 11248 11791 14512 17233 18278 23582 33559 34466 36556 47164 67118 68932 73112 94328 134236 137864 146224 188656 224029 268472 275728 436267 448058 536944 637621 872534 896116 1275242 1745068 1792232 2550484 3490136 3584464 5100968 6980272 8289073 10201936 16578146 33156292 66312584 132625168