147532810000 has 225 divisors, whose sum is σ = 375646278931. Its totient is φ = 56109328000.

The previous prime is 147532809953. The next prime is 147532810021. The reversal of 147532810000 is 18235741.

The square root of 147532810000 is 384100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 11566572304 + 135966237696 = 107548^2 + 368736^2 .

It is a super-2 number, since 2×147532810000² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 883429917 + ... + 883430083.

Almost surely, 2^147532810000 is an apocalyptic number.

147532810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147532810000 is the 384100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147532810000

147532810000 is an abundant number, since it is smaller than the sum of its proper divisors (228113468931).

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

147532810000 is an frugal number, since it uses more digits than its factorization.

147532810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 147532810000 in words is "one hundred forty-seven billion, five hundred thirty-two million, eight hundred ten thousand".