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149625 = 3253719
BaseRepresentation
bin100100100001111001
321121020200
4210201321
514242000
63112413
71162140
oct444171
9247220
10149625
11a2463
1272709
1353148
143c757
152e500
hex24879

149625 has 48 divisors (see below), whose sum is σ = 324480. Its totient is φ = 64800.

The previous prime is 149623. The next prime is 149627. The reversal of 149625 is 526941.

It is an interprime number because it is at equal distance from previous prime (149623) and next prime (149627).

It is not a de Polignac number, because 149625 - 21 = 149623 is a prime.

149625 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149625.

It is not an unprimeable number, because it can be changed into a prime (149623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7866 + ... + 7884.

It is an arithmetic number, because the mean of its divisors is an integer number (6760).

2149625 is an apocalyptic number.

149625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149625 is an abundant number, since it is smaller than the sum of its proper divisors (174855).

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

149625 is a wasteful number, since it uses less digits than its factorization.

149625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 34 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 149625 is about 386.8139087468. The cubic root of 149625 is about 53.0886140695.

It can be divided in two parts, 1496 and 25, that added together give a square (1521 = 392).

The spelling of 149625 in words is "one hundred forty-nine thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 125 133 171 175 225 285 315 375 399 475 525 665 855 875 1125 1197 1425 1575 1995 2375 2625 3325 4275 5985 7125 7875 9975 16625 21375 29925 49875 149625