147361408 has 32 divisors (see below), whose sum is σ = 297970560. Its totient is φ = 72576768.

The previous prime is 147361337. The next prime is 147361427. The reversal of 147361408 is 804163741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 17167.

It is an arithmetic number, because the mean of its divisors is an integer number (9311580).

Almost surely, 2^147361408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148985280).

147361408 is an abundant number, since it is smaller than the sum of its proper divisors (150609152).

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

147361408 is an equidigital number, since it uses as much as digits as its factorization.

147361408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17264 (or 17252 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 147361408 is about 12139.2507182280. The cubic root of 147361408 is about 528.1953669436.

The spelling of 147361408 in words is "one hundred forty-seven million, three hundred sixty-one thousand, four hundred eight".