147162120 has 128 divisors (see below), whose sum is σ = 516983040. Its totient is φ = 32808960.

The previous prime is 147162109. The next prime is 147162121. The reversal of 147162120 is 21261741.

147162120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (147162121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32304 + ... + 36576.

It is an arithmetic number, because the mean of its divisors is an integer number (4038930).

Almost surely, 2^147162120 is an apocalyptic number.

147162120 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 147162120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258491520).

147162120 is an abundant number, since it is smaller than the sum of its proper divisors (369820920).

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

147162120 is a wasteful number, since it uses less digits than its factorization.

147162120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 147162120 is about 12131.0395267677. The cubic root of 147162120 is about 527.9571533184.

It can be divided in two parts, 14716 and 2120, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 147162120 in words is "one hundred forty-seven million, one hundred sixty-two thousand, one hundred twenty".