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138650625 = 32541572
BaseRepresentation
bin10000100001110…
…10010000000001
3100122220011220100
420100322100001
5240443310000
621431433013
73302340141
oct1020722001
9318804810
10138650625
11712a02a3
123a525769
13229570b9
14145b2921
15c28ba00
hex843a401

138650625 has 45 divisors (see below), whose sum is σ = 251865471. Its totient is φ = 73476000.

The previous prime is 138650593. The next prime is 138650627. The reversal of 138650625 is 526056831.

The square root of 138650625 is 11775.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 127441521 + 11209104 = 11289^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 138650625 - 25 = 138650593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138650625.

It is not an unprimeable number, because it can be changed into a prime (138650627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 883047 + ... + 883203.

Almost surely, 2138650625 is an apocalyptic number.

138650625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138650625 is the 11775-th square number.

138650625 is the 5888-th centered octagonal number.

It is an amenable number.

138650625 is a deficient number, since it is larger than the sum of its proper divisors (113214846).

138650625 is an frugal number, since it uses more digits than its factorization.

138650625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 138650625 is about 517.5757783031.

Multiplying 138650625 by its sum of digits (36), we get a square (4991422500 = 706502).

The spelling of 138650625 in words is "one hundred thirty-eight million, six hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 157 225 375 471 625 785 1125 1413 1875 2355 3925 5625 7065 11775 19625 24649 35325 58875 73947 98125 123245 176625 221841 294375 369735 616225 883125 1109205 1848675 3081125 5546025 9243375 15405625 27730125 46216875 138650625