147420288 has 96 divisors (see below), whose sum is σ = 430273740. Its totient is φ = 48439296.

The previous prime is 147420263. The next prime is 147420289. The reversal of 147420288 is 882024741.

It can be written as a sum of positive squares in 2 ways, for example, as 136609344 + 10810944 = 11688^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147420289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83220 + ... + 84972.

Almost surely, 2^147420288 is an apocalyptic number.

147420288 is a gapful number since it is divisible by the number (18) 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 147420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215136870).

147420288 is an abundant number, since it is smaller than the sum of its proper divisors (282853452).

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

147420288 is a wasteful number, since it uses less digits than its factorization.

147420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 147420288 is about 12141.6756668921. The cubic root of 147420288 is about 528.2657064860.

The spelling of 147420288 in words is "one hundred forty-seven million, four hundred twenty thousand, two hundred eighty-eight".