147215600 has 240 divisors, whose sum is σ = 438216000. Its totient is φ = 47416320.

The previous prime is 147215599. The next prime is 147215641. The reversal of 147215600 is 6512741.

147215600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 147215600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3978782 + ... + 3978818.

It is an arithmetic number, because the mean of its divisors is an integer number (1825900).

Almost surely, 2^147215600 is an apocalyptic number.

147215600 is a gapful number since it is divisible by the number (10) 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 147215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219108000).

147215600 is an abundant number, since it is smaller than the sum of its proper divisors (291000400).

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

147215600 is a wasteful number, since it uses less digits than its factorization.

147215600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 147215600 is about 12133.2435894117. The cubic root of 147215600 is about 528.0211003199.

The spelling of 147215600 in words is "one hundred forty-seven million, two hundred fifteen thousand, six hundred".