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146121625 = 531326917
BaseRepresentation
bin10001011010110…
…10001110011001
3101011221202012001
420231122032121
5244401343000
622255521001
73423004366
oct1055321631
9334852161
10146121625
1175533381
1240b29161
1324371800
141559946d
15cc6546a
hex8b5a399

146121625 has 24 divisors (see below), whose sum is σ = 197495064. Its totient is φ = 107889600.

The previous prime is 146121623. The next prime is 146121629. The reversal of 146121625 is 526121641.

146121625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 136702864 + 9418761 = 11692^2 + 3069^2 .

It is not a de Polignac number, because 146121625 - 21 = 146121623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146121593 and 146121602.

It is not an unprimeable number, because it can be changed into a prime (146121623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17667 + ... + 24583.

It is an arithmetic number, because the mean of its divisors is an integer number (8228961).

Almost surely, 2146121625 is an apocalyptic number.

It is an amenable number.

146121625 is a deficient number, since it is larger than the sum of its proper divisors (51373439).

146121625 is an equidigital number, since it uses as much as digits as its factorization.

146121625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6935 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 146121625 is about 12088.0778041838. The cubic root of 146121625 is about 526.7099198485.

It can be divided in two parts, 146 and 121625, that added together give a triangular number (121771 = T493).

The spelling of 146121625 in words is "one hundred forty-six million, one hundred twenty-one thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 845 1625 4225 6917 21125 34585 89921 172925 449605 864625 1168973 2248025 5844865 11240125 29224325 146121625