147201873 has 96 divisors (see below), whose sum is σ = 267033600. Its totient is φ = 70357248.

The previous prime is 147201869. The next prime is 147201893. The reversal of 147201873 is 378102741.

It is a happy number.

It is not a de Polignac number, because 147201873 - 2² = 147201869 is a prime.

It is not an unprimeable number, because it can be changed into a prime (147201833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2494918 + ... + 2494976.

It is an arithmetic number, because the mean of its divisors is an integer number (2781600).

Almost surely, 2^147201873 is an apocalyptic number.

147201873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

147201873 is a deficient number, since it is larger than the sum of its proper divisors (119831727).

147201873 is a wasteful number, since it uses less digits than its factorization.

147201873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 147201873 is about 12132.6778989636. The cubic root of 147201873 is about 528.0046881758.

The spelling of 147201873 in words is "one hundred forty-seven million, two hundred one thousand, eight hundred seventy-three".