147712750576400 has 120 divisors (see below), whose sum is σ = 355360815063048. Its totient is φ = 59005048320000.

The previous prime is 147712750576343. The next prime is 147712750576411. The reversal of 147712750576400 is 4675057217741.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20217217278736 + 127495533297664 = 4496356^2 + 11291392^2 .

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 23 ways as a sum of consecutive naturals, for example, 2778565820 + ... + 2778618980.

Almost surely, 2^{147712750576400} is an apocalyptic number.

147712750576400 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 147712750576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177680407531524).

147712750576400 is an abundant number, since it is smaller than the sum of its proper divisors (207648064486648).

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

147712750576400 is a wasteful number, since it uses less digits than its factorization.

147712750576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62461 (or 62450 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 56.

The spelling of 147712750576400 in words is "one hundred forty-seven trillion, seven hundred twelve billion, seven hundred fifty million, five hundred seventy-six thousand, four hundred".