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132131200 = 2752157263
BaseRepresentation
bin1111110000000…
…10100110000000
3100012121221221011
413320002212000
5232311144300
621040010304
73163045105
oct770024600
9305557834
10132131200
1168648143
1238300994
13214b3856
1413796aac
15b8eeeba
hex7e02980

132131200 has 96 divisors (see below), whose sum is σ = 329733360. Its totient is φ = 52316160.

The previous prime is 132131189. The next prime is 132131201. The reversal of 132131200 is 2131231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502269 + ... + 502531.

Almost surely, 2132131200 is an apocalyptic number.

132131200 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 132131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164866680).

132131200 is an abundant number, since it is smaller than the sum of its proper divisors (197602160).

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

132131200 is a wasteful number, since it uses less digits than its factorization.

132131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 132131200 is about 11494.8336221104. The cubic root of 132131200 is about 509.3329739375.

Adding to 132131200 its reverse (2131231), we get a palindrome (134262431).

The spelling of 132131200 in words is "one hundred thirty-two million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 157 160 200 263 314 320 400 526 628 640 785 800 1052 1256 1315 1570 1600 2104 2512 2630 3140 3200 3925 4208 5024 5260 6280 6575 7850 8416 10048 10520 12560 13150 15700 16832 20096 21040 25120 26300 31400 33664 41291 42080 50240 52600 62800 82582 84160 100480 105200 125600 165164 168320 206455 210400 251200 330328 412910 420800 502400 660656 825820 841600 1032275 1321312 1651640 2064550 2642624 3303280 4129100 5285248 6606560 8258200 13213120 16516400 26426240 33032800 66065600 132131200