147520072800 has 288 divisors, whose sum is σ = 543601769760. Its totient is φ = 38596147200.

The previous prime is 147520072757. The next prime is 147520072813. The reversal of 147520072800 is 8270025741.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080370 + ... + 1209230.

It is an arithmetic number, because the mean of its divisors is an integer number (1887506145).

Almost surely, 2^147520072800 is an apocalyptic number.

147520072800 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 147520072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271800884880).

147520072800 is an abundant number, since it is smaller than the sum of its proper divisors (396081696960).

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

147520072800 is a wasteful number, since it uses less digits than its factorization.

147520072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128943 (or 128924 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 147520072800 in words is "one hundred forty-seven billion, five hundred twenty million, seventy-two thousand, eight hundred".