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132139200 = 2635227529
BaseRepresentation
bin1111110000001…
…00100011000000
3100012122100220110
413320010203000
5232311423300
621040111320
73163110324
oct770044300
9305570813
10132139200
1168653156
1238305540
13214b739b
1413799984
15b902550
hex7e048c0

132139200 has 84 divisors (see below), whose sum is σ = 433542440. Its totient is φ = 35235840.

The previous prime is 132139177. The next prime is 132139219. The reversal of 132139200 is 2931231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8965 + ... + 18564.

Almost surely, 2132139200 is an apocalyptic number.

132139200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132139200 is an abundant number, since it is smaller than the sum of its proper divisors (301403240).

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

132139200 is a wasteful number, since it uses less digits than its factorization.

132139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27554 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 132139200 is about 11495.1815992615. The cubic root of 132139200 is about 509.3432530680.

The spelling of 132139200 in words is "one hundred thirty-two million, one hundred thirty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 27529 55058 82587 110116 137645 165174 220232 275290 330348 412935 440464 550580 660696 688225 825870 880928 1101160 1321392 1376450 1651740 1761856 2064675 2202320 2642784 2752900 3303480 4129350 4404640 5285568 5505800 6606960 8258700 8809280 11011600 13213920 16517400 22023200 26427840 33034800 44046400 66069600 132139200