147365406072 has 96 divisors (see below), whose sum is σ = 400570060800. Its totient is φ = 48942937152.

The previous prime is 147365406059. The next prime is 147365406101. The reversal of 147365406072 is 270604563741.

147365406072 is a `hidden beast` number, since 1 + 4 + 7 + 36 + 5 + 4 + 0 + 607 + 2 = 666.

147365406072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×147365406072³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41404629 + ... + 41408187.

It is an arithmetic number, because the mean of its divisors is an integer number (4172604800).

Almost surely, 2^147365406072 is an apocalyptic number.

147365406072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147365406072 is an abundant number, since it is smaller than the sum of its proper divisors (253204654728).

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

147365406072 is a wasteful number, since it uses less digits than its factorization.

147365406072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 147365406072 in words is "one hundred forty-seven billion, three hundred sixty-five million, four hundred six thousand, seventy-two".