147088032 has 192 divisors, whose sum is σ = 482630400. Its totient is φ = 38191104.

The previous prime is 147088027. The next prime is 147088049. The reversal of 147088032 is 230880741.

It is a junction number, because it is equal to n+sod(n) for n = 147087984 and 147088002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987094 + ... + 987242.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^147088032 is an apocalyptic number.

147088032 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 147088032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

147088032 is an abundant number, since it is smaller than the sum of its proper divisors (335542368).

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

147088032 is a wasteful number, since it uses less digits than its factorization.

147088032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 147088032 is about 12127.9854881180. The cubic root of 147088032 is about 527.8685393563.

The spelling of 147088032 in words is "one hundred forty-seven million, eighty-eight thousand, thirty-two".