147636972 has 96 divisors (see below), whose sum is σ = 439434240. Its totient is φ = 41990400.

The previous prime is 147636971. The next prime is 147637001. The reversal of 147636972 is 279636741.

147636972 is a `hidden beast` number, since 1 + 4 + 7 + 636 + 9 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (147636971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302913 + ... + 303399.

It is an arithmetic number, because the mean of its divisors is an integer number (4577440).

Almost surely, 2^147636972 is an apocalyptic number.

147636972 is a gapful number since it is divisible by the number (12) 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 147636972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219717120).

147636972 is an abundant number, since it is smaller than the sum of its proper divisors (291797268).

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

147636972 is a wasteful number, since it uses less digits than its factorization.

147636972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 147636972 is about 12150.5955409601. The cubic root of 147636972 is about 528.5244015207.

The spelling of 147636972 in words is "one hundred forty-seven million, six hundred thirty-six thousand, nine hundred seventy-two".