147480247200 has 1152 divisors, whose sum is σ = 592666066944. Its totient is φ = 31371264000.

The previous prime is 147480247193. The next prime is 147480247217. The reversal of 147480247200 is 2742084741.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 661346289 + ... + 661346511.

It is an arithmetic number, because the mean of its divisors is an integer number (514467072).

Almost surely, 2^147480247200 is an apocalyptic number.

147480247200 is a gapful number since it is divisible by the number (10) 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 147480247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296333033472).

147480247200 is an abundant number, since it is smaller than the sum of its proper divisors (445185819744).

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

147480247200 is a wasteful number, since it uses less digits than its factorization.

147480247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 147480247200 in words is "one hundred forty-seven billion, four hundred eighty million, two hundred forty-seven thousand, two hundred".