147364416 has 42 divisors (see below), whose sum is σ = 422395142. Its totient is φ = 49121280.

The previous prime is 147364379. The next prime is 147364429. The reversal of 147364416 is 614463741.

147364416 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 644 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 6230016 = 11880^2 + 2496^2 .

It is a super-2 number, since 2×147364416² = 43432542206042112, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127345 + ... + 128496.

Almost surely, 2^147364416 is an apocalyptic number.

147364416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

147364416 is an abundant number, since it is smaller than the sum of its proper divisors (275030726).

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

147364416 is a wasteful number, since it uses less digits than its factorization.

147364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255859 (or 255846 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 147364416 is about 12139.3746132163. The cubic root of 147364416 is about 528.1989608309.

The spelling of 147364416 in words is "one hundred forty-seven million, three hundred sixty-four thousand, four hundred sixteen".