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135812500 = 22564153
BaseRepresentation
bin10000001100001…
…01010110010100
3100110112222201121
420012011112110
5234232000000
621250533324
73236246545
oct1006052624
9313488647
10135812500
116a731a3a
1239597244
13221a2335
14140744cc
15bdcab1a
hex8185594

135812500 has 84 divisors (see below), whose sum is σ = 310074156. Its totient is φ = 52000000.

The previous prime is 135812497. The next prime is 135812503. The reversal of 135812500 is 5218531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135812497) and next prime (135812503).

It can be written as a sum of positive squares in 14 ways, for example, as 93354244 + 42458256 = 9662^2 + 6516^2 .

It is a sliding number, since 135812500 = 7812500 + 128000000 and 1/7812500 + 1/128000000 = 0.000000135812500.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135812503) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2562474 + ... + 2562526.

It is an arithmetic number, because the mean of its divisors is an integer number (3691359).

Almost surely, 2135812500 is an apocalyptic number.

135812500 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 135812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155037078).

135812500 is an abundant number, since it is smaller than the sum of its proper divisors (174261656).

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

135812500 is an frugal number, since it uses more digits than its factorization.

135812500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 135812500 is about 11653.8620208067. The cubic root of 135812500 is about 514.0198784118.

The spelling of 135812500 in words is "one hundred thirty-five million, eight hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 53 82 100 106 125 164 205 212 250 265 410 500 530 625 820 1025 1060 1250 1325 2050 2173 2500 2650 3125 4100 4346 5125 5300 6250 6625 8692 10250 10865 12500 13250 15625 20500 21730 25625 26500 31250 33125 43460 51250 54325 62500 66250 102500 108650 128125 132500 165625 217300 256250 271625 331250 512500 543250 640625 662500 828125 1086500 1281250 1358125 1656250 2562500 2716250 3312500 5432500 6790625 13581250 27162500 33953125 67906250 135812500