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149878125 = 3255732
BaseRepresentation
bin10001110111011…
…11010101101101
3101110000121010200
420323233111231
5301332100000
622512224113
73466641315
oct1073572555
9343017120
10149878125
1177669721
124223b039
13250885a7
1415c96445
15d258500
hex8eef56d

149878125 has 54 divisors (see below), whose sum is σ = 274353534. Its totient is φ = 78840000.

The previous prime is 149878111. The next prime is 149878133. The reversal of 149878125 is 521878941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 148206276 + 1671849 = 12174^2 + 1293^2 .

It is not a de Polignac number, because 149878125 - 25 = 149878093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2053089 + ... + 2053161.

It is an arithmetic number, because the mean of its divisors is an integer number (5080621).

Almost surely, 2149878125 is an apocalyptic number.

149878125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149878125 is a deficient number, since it is larger than the sum of its proper divisors (124475409).

149878125 is an frugal number, since it uses more digits than its factorization.

149878125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 81 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 149878125 is about 12242.4721768113. The cubic root of 149878125 is about 531.1853439191.

Multiplying 149878125 by its sum of digits (45), we get a square (6744515625 = 821252).

149878125 divided by its sum of digits (45) gives a square (3330625 = 18252).

The spelling of 149878125 in words is "one hundred forty-nine million, eight hundred seventy-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 125 219 225 365 375 625 657 1095 1125 1825 1875 3125 3285 5329 5475 5625 9125 9375 15987 16425 26645 27375 28125 45625 47961 79935 82125 133225 136875 228125 239805 399675 410625 666125 684375 1199025 1998375 2053125 3330625 5995125 9991875 16653125 29975625 49959375 149878125