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134788108225 = 5210127272
BaseRepresentation
bin111110110000111111…
…1110100111111000001
3110212220121121100022111
41331201333310333001
54202021223430400
6141530520535321
712511114005361
oct1754177647701
9425817540274
10134788108225
1152188411771
1222158321541
13c930b74474
1467493709a1
15378d3b23ba
hex1f61ff4fc1

134788108225 has 27 divisors (see below), whose sum is σ = 169040981001. Its totient is φ = 106616004000.

The previous prime is 134788108207. The next prime is 134788108243. The reversal of 134788108225 is 522801887431.

It is a happy number.

The square root of 134788108225 is 367135.

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

It is an interprime number because it is at equal distance from previous prime (134788108207) and next prime (134788108243).

It can be written as a sum of positive squares in 4 ways, for example, as 24887902081 + 109900206144 = 157759^2 + 331512^2 .

It is not a de Polignac number, because 134788108225 - 211 = 134788106177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185402812 + ... + 185403538.

Almost surely, 2134788108225 is an apocalyptic number.

134788108225 is the 367135-th square number.

134788108225 is the 183568-th centered octagonal number.

It is an amenable number.

134788108225 is a deficient number, since it is larger than the sum of its proper divisors (34252872776).

134788108225 is an frugal number, since it uses more digits than its factorization.

134788108225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

Multiplying 134788108225 by its sum of digits (49), we get a square (6604617303025 = 25699452).

The spelling of 134788108225 in words is "one hundred thirty-four billion, seven hundred eighty-eight million, one hundred eight thousand, two hundred twenty-five".

Divisors: 1 5 25 101 505 727 2525 3635 10201 18175 51005 73427 255025 367135 528529 1835675 2642645 7416127 13213225 37080635 53381429 185403175 266907145 1334535725 5391524329 26957621645 134788108225