147346752 has 112 divisors (see below), whose sum is σ = 471830400. Its totient is φ = 39616512.

The previous prime is 147346733. The next prime is 147346757. The reversal of 147346752 is 257643741.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×147346752² = 43422130649899008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147346752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147346757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19624 + ... + 26072.

Almost surely, 2^147346752 is an apocalyptic number.

147346752 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 147346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235915200).

147346752 is an abundant number, since it is smaller than the sum of its proper divisors (324483648).

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

147346752 is a wasteful number, since it uses less digits than its factorization.

147346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6478 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 147346752 is about 12138.6470415776. The cubic root of 147346752 is about 528.1778556018.

The spelling of 147346752 in words is "one hundred forty-seven million, three hundred forty-six thousand, seven hundred fifty-two".