147186144 has 72 divisors (see below), whose sum is σ = 478361520. Its totient is φ = 42052608.

The previous prime is 147186139. The next prime is 147186163. The reversal of 147186144 is 441681741.

147186144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 147186099 and 147186108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34489 + ... + 38520.

It is an arithmetic number, because the mean of its divisors is an integer number (6643910).

Almost surely, 2^147186144 is an apocalyptic number.

147186144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

147186144 is an abundant number, since it is smaller than the sum of its proper divisors (331175376).

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

147186144 is a wasteful number, since it uses less digits than its factorization.

147186144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73032 (or 73021 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 147186144 is about 12132.0296735542. The cubic root of 147186144 is about 527.9858811652.

The spelling of 147186144 in words is "one hundred forty-seven million, one hundred eighty-six thousand, one hundred forty-four".