147445350400 has 192 divisors, whose sum is σ = 384944725800. Its totient is φ = 55868129280.

The previous prime is 147445350389. The next prime is 147445350431. The reversal of 147445350400 is 4053544741.

It is a self number, because there is not a number n which added to its sum of digits gives 147445350400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 15560064 + ... + 15569536.

Almost surely, 2^147445350400 is an apocalyptic number.

147445350400 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 147445350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192472362900).

147445350400 is an abundant number, since it is smaller than the sum of its proper divisors (237499375400).

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

147445350400 is an frugal number, since it uses more digits than its factorization.

147445350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9499 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The spelling of 147445350400 in words is "one hundred forty-seven billion, four hundred forty-five million, three hundred fifty thousand, four hundred".