147921952800 has 216 divisors, whose sum is σ = 483870061584. Its totient is φ = 39251297280.

The previous prime is 147921952769. The next prime is 147921952883. The reversal of 147921952800 is 8259129741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 147921952800.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333909379 + ... + 333909821.

It is an arithmetic number, because the mean of its divisors is an integer number (2240139174).

Almost surely, 2^147921952800 is an apocalyptic number.

147921952800 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 147921952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241935030792).

147921952800 is an abundant number, since it is smaller than the sum of its proper divisors (335948108784).

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

147921952800 is an equidigital number, since it uses as much as digits as its factorization.

147921952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 147921952800 in words is "one hundred forty-seven billion, nine hundred twenty-one million, nine hundred fifty-two thousand, eight hundred".