147581952 has 88 divisors (see below), whose sum is σ = 449619456. Its totient is φ = 42160128.

The previous prime is 147581923. The next prime is 147581963. The reversal of 147581952 is 259185741.

It is a super-2 number, since 2×147581952² = 43560865112260608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18073 + ... + 24935.

It is an arithmetic number, because the mean of its divisors is an integer number (5109312).

Almost surely, 2^147581952 is an apocalyptic number.

147581952 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 147581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224809728).

147581952 is an abundant number, since it is smaller than the sum of its proper divisors (302037504).

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

147581952 is an equidigital number, since it uses as much as digits as its factorization.

147581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6875 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 147581952 is about 12148.3312434260. The cubic root of 147581952 is about 528.4587381454.

The spelling of 147581952 in words is "one hundred forty-seven million, five hundred eighty-one thousand, nine hundred fifty-two".