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132139680 = 25351914489
BaseRepresentation
bin1111110000001…
…00101010100000
3100012122101120020
413320010222200
5232311432210
621040113440
73163111611
oct770045240
9305571506
10132139680
1168653552
1238305880
13214b767a
1413799c08
15b902770
hex7e04aa0

132139680 has 96 divisors (see below), whose sum is σ = 438177600. Its totient is φ = 33380352.

The previous prime is 132139673. The next prime is 132139681. The reversal of 132139680 is 86931231.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (132139681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876 + ... + 16364.

It is an arithmetic number, because the mean of its divisors is an integer number (4564350).

Almost surely, 2132139680 is an apocalyptic number.

132139680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219088800).

132139680 is an abundant number, since it is smaller than the sum of its proper divisors (306037920).

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

132139680 is a wasteful number, since it uses less digits than its factorization.

132139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526 (or 14518 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 132139680 is about 11495.2024775556. The cubic root of 132139680 is about 509.3438698027.

The spelling of 132139680 in words is "one hundred thirty-two million, one hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 14489 28978 43467 57956 72445 86934 115912 144890 173868 217335 231824 275291 289780 347736 434670 463648 550582 579560 695472 825873 869340 1101164 1159120 1376455 1390944 1651746 1738680 2202328 2318240 2752910 3303492 3477360 4129365 4404656 5505820 6606984 6954720 8258730 8809312 11011640 13213968 16517460 22023280 26427936 33034920 44046560 66069840 132139680