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135033750 = 233544001
BaseRepresentation
bin10000000110001…
…11001110010110
3100102002102111000
420003013032112
5234032040000
621222124130
73226524255
oct1003071626
9312072430
10135033750
116a24a945
1239280646
1321c8ba37
1413d1079c
15bcc5000
hex80c7396

135033750 has 80 divisors (see below), whose sum is σ = 375067440. Its totient is φ = 36000000.

The previous prime is 135033709. The next prime is 135033751. The reversal of 135033750 is 57330531.

It is a super-2 number, since 2×1350337502 = 36468227278125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135033751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31750 + ... + 35750.

It is an arithmetic number, because the mean of its divisors is an integer number (4688343).

Almost surely, 2135033750 is an apocalyptic number.

135033750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135033750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187533720).

135033750 is an abundant number, since it is smaller than the sum of its proper divisors (240033690).

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

135033750 is an equidigital number, since it uses as much as digits as its factorization.

135033750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 135033750 is about 11620.4023166154. The cubic root of 135033750 is about 513.0355298397.

It can be divided in two parts, 1350 and 33750, that multiplied together give a square (45562500 = 67502).

The spelling of 135033750 in words is "one hundred thirty-five million, thirty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 625 675 750 1125 1250 1350 1875 2250 3375 3750 4001 5625 6750 8002 11250 12003 16875 20005 24006 33750 36009 40010 60015 72018 100025 108027 120030 180045 200050 216054 300075 360090 500125 540135 600150 900225 1000250 1080270 1500375 1800450 2500625 2700675 3000750 4501125 5001250 5401350 7501875 9002250 13503375 15003750 22505625 27006750 45011250 67516875 135033750