147064580100 has 135 divisors (see below), whose sum is σ = 476837176431. Its totient is φ = 39208017600.

The previous prime is 147064580029. The next prime is 147064580137. The reversal of 147064580100 is 1085460741.

It is a happy number.

The square root of 147064580100 is 383490.

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

147064580100 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 64 + 580 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28915642116 + 118148937984 = 170046^2 + 343728^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 34511970 + ... + 34516230.

Almost surely, 2^147064580100 is an apocalyptic number.

147064580100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147064580100 is the 383490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147064580100

147064580100 is an abundant number, since it is smaller than the sum of its proper divisors (329772596331).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147064580100 is an frugal number, since it uses more digits than its factorization.

147064580100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 147064580100 by its sum of digits (36), we get a square (5294324883600 = 2300940²).

147064580100 divided by its sum of digits (36) gives a square (4085127225 = 63915²).

The spelling of 147064580100 in words is "one hundred forty-seven billion, sixty-four million, five hundred eighty thousand, one hundred".