147162240 has 192 divisors, whose sum is σ = 526289400. Its totient is φ = 37847040.

The previous prime is 147162199. The next prime is 147162241. The reversal of 147162240 is 42261741.

147162240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96353856 + 50808384 = 9816^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (147162241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166600 + ... + 167480.

Almost surely, 2^147162240 is an apocalyptic number.

147162240 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 147162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263144700).

147162240 is an abundant number, since it is smaller than the sum of its proper divisors (379127160).

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

147162240 is a wasteful number, since it uses less digits than its factorization.

147162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 147162240 is about 12131.0444727567. The cubic root of 147162240 is about 527.9572968219.

The spelling of 147162240 in words is "one hundred forty-seven million, one hundred sixty-two thousand, two hundred forty".