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145187671225 = 52762072
BaseRepresentation
bin1000011100110111011…
…1000000110010111001
3111212202101012212211111
42013031313000302321
54334321020434400
6150410455400321
713326612562132
oct2071567006271
9455671185744
10145187671225
1156634723333
122417b0830a1
13108ca57c33c
1470545c2c89
153b9b3993ba
hex21cddc0cb9

145187671225 has 9 divisors (see below), whose sum is σ = 180035074767. Its totient is φ = 116148612840.

The previous prime is 145187671171. The next prime is 145187671229. The reversal of 145187671225 is 522176781541.

The square root of 145187671225 is 381035.

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

145187671225 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 only one way, i.e., 52267561641 + 92920109584 = 228621^2 + 304828^2 .

It is not a de Polignac number, because 145187671225 - 235 = 110827932857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145187671229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1867072 + ... + 1943278.

Almost surely, 2145187671225 is an apocalyptic number.

145187671225 is the 381035-th square number.

145187671225 is the 190518-th centered octagonal number.

It is an amenable number.

145187671225 is a deficient number, since it is larger than the sum of its proper divisors (34847403542).

145187671225 is an frugal number, since it uses more digits than its factorization.

145187671225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152424 (or 76212 counting only the distinct ones).

The product of its digits is 940800, while the sum is 49.

Multiplying 145187671225 by its sum of digits (49), we get a square (7114195890025 = 26672452).

The spelling of 145187671225 in words is "one hundred forty-five billion, one hundred eighty-seven million, six hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 25 76207 381035 1905175 5807506849 29037534245 145187671225