147085632 has 140 divisors (see below), whose sum is σ = 461932020. Its totient is φ = 46116864.

The previous prime is 147085591. The next prime is 147085637. The reversal of 147085632 is 236580741.

147085632 is a `hidden beast` number, since 14 + 7 + 0 + 8 + 5 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 49787136 = 9864^2 + 7056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147085637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87294 + ... + 88962.

Almost surely, 2^147085632 is an apocalyptic number.

147085632 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 147085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230966010).

147085632 is an abundant number, since it is smaller than the sum of its proper divisors (314846388).

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

147085632 is a wasteful number, since it uses less digits than its factorization.

147085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 147085632 is about 12127.8865430049. The cubic root of 147085632 is about 527.8656683061.

The spelling of 147085632 in words is "one hundred forty-seven million, eighty-five thousand, six hundred thirty-two".