150225610646400 has 192 divisors, whose sum is σ = 495324843631920. Its totient is φ = 40018124554240.

The previous prime is 150225610646359. The next prime is 150225610646413. The reversal of 150225610646400 is 4646016522051.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938674 + ... + 17358926.

Almost surely, 2^{150225610646400} is an apocalyptic number.

150225610646400 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 150225610646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247662421815960).

150225610646400 is an abundant number, since it is smaller than the sum of its proper divisors (345099232985520).

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

150225610646400 is a wasteful number, since it uses less digits than its factorization.

150225610646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16421233 (or 16421216 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 150225610646400 in words is "one hundred fifty trillion, two hundred twenty-five billion, six hundred ten million, six hundred forty-six thousand, four hundred".