147333120 has 224 divisors, whose sum is σ = 519013440. Its totient is φ = 35389440.

The previous prime is 147333119. The next prime is 147333127. The reversal of 147333120 is 21333741.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147333127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351626 + ... + 1351734.

Almost surely, 2^147333120 is an apocalyptic number.

147333120 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 147333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259506720).

147333120 is an abundant number, since it is smaller than the sum of its proper divisors (371680320).

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

147333120 is a wasteful number, since it uses less digits than its factorization.

147333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 147333120 is about 12138.0855162583. The cubic root of 147333120 is about 528.1615667176.

Adding to 147333120 its reverse (21333741), we get a palindrome (168666861).

The spelling of 147333120 in words is "one hundred forty-seven million, three hundred thirty-three thousand, one hundred twenty".