147201696 has 72 divisors (see below), whose sum is σ = 425748960. Its totient is φ = 48230016.

The previous prime is 147201667. The next prime is 147201701. The reversal of 147201696 is 696102741.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 147201696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12661 + ... + 21323.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180).

Almost surely, 2^147201696 is an apocalyptic number.

147201696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147201696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212874480).

147201696 is an abundant number, since it is smaller than the sum of its proper divisors (278547264).

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

147201696 is a wasteful number, since it uses less digits than its factorization.

147201696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 147201696 is about 12132.6706046113. The cubic root of 147201696 is about 528.0044765461.

The spelling of 147201696 in words is "one hundred forty-seven million, two hundred one thousand, six hundred ninety-six".