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148105125 = 335376269
BaseRepresentation
bin10001101001111…
…10011110100101
3101022200112001000
420310332132211
5300403331000
622410223513
73445605240
oct1064763645
9338615030
10148105125
1176668633
1241724b99
13248b758c
1415954257
15d008000
hex8d3e7a5

148105125 has 64 divisors (see below), whose sum is σ = 312998400. Its totient is φ = 67694400.

The previous prime is 148105123. The next prime is 148105141. The reversal of 148105125 is 521501841.

148105125 is a `hidden beast` number, since 148 + 1 + 0 + 512 + 5 = 666.

It is not a de Polignac number, because 148105125 - 21 = 148105123 is a prime.

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 (148105123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20491 + ... + 26759.

It is an arithmetic number, because the mean of its divisors is an integer number (4890600).

Almost surely, 2148105125 is an apocalyptic number.

148105125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148105125 is an abundant number, since it is smaller than the sum of its proper divisors (164893275).

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

148105125 is an equidigital number, since it uses as much as digits as its factorization.

148105125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 148105125 is about 12169.8449045171. The cubic root of 148105125 is about 529.0824577873.

Adding to 148105125 its reverse (521501841), we get a palindrome (669606966).

The spelling of 148105125 in words is "one hundred forty-eight million, one hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1125 1575 2625 3375 4725 6269 7875 18807 23625 31345 43883 56421 94035 131649 156725 169263 219415 282105 394947 470175 658245 783625 846315 1097075 1184841 1410525 1974735 2350875 3291225 4231575 5485375 5924205 7052625 9873675 16456125 21157875 29621025 49368375 148105125