147288960 has 384 divisors, whose sum is σ = 628205760. Its totient is φ = 30965760.

The previous prime is 147288949. The next prime is 147288989. The reversal of 147288960 is 69882741.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 524020 + ... + 524300.

Almost surely, 2^147288960 is an apocalyptic number.

147288960 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 147288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314102880).

147288960 is an abundant number, since it is smaller than the sum of its proper divisors (480916800).

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

147288960 is a wasteful number, since it uses less digits than its factorization.

147288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 147288960 is about 12136.2663121736. The cubic root of 147288960 is about 528.1087930089.

The spelling of 147288960 in words is "one hundred forty-seven million, two hundred eighty-eight thousand, nine hundred sixty".