147099096225 has 81 divisors (see below), whose sum is σ = 273879625747. Its totient is φ = 78370007760.

The previous prime is 147099096143. The next prime is 147099096227. The reversal of 147099096225 is 522690990741.

The square root of 147099096225 is 383535.

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

147099096225 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 9 + 9 + 0 + 9 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52955674641 + 94143421584 = 230121^2 + 306828^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 147099096225 - 2⁷ = 147099096097 is a prime.

It is a super-2 number, since 2×147099096225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147099096227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 155331202 + ... + 155332148.

Almost surely, 2^147099096225 is an apocalyptic number.

147099096225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

147099096225 is the 383535-th square number.

147099096225 is the 191768-th centered octagonal number.

It is an amenable number.

147099096225 is a deficient number, since it is larger than the sum of its proper divisors (126780529522).

147099096225 is an frugal number, since it uses more digits than its factorization.

147099096225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 147099096225 in words is "one hundred forty-seven billion, ninety-nine million, ninety-six thousand, two hundred twenty-five".