149325187200 has 768 divisors, whose sum is σ = 580543200000. Its totient is φ = 33718272000.

The previous prime is 149325187117. The next prime is 149325187247. The reversal of 149325187200 is 2781523941.

149325187200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 332572576 + ... + 332573024.

It is an arithmetic number, because the mean of its divisors is an integer number (755915625).

Almost surely, 2^149325187200 is an apocalyptic number.

149325187200 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 149325187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290271600000).

149325187200 is an abundant number, since it is smaller than the sum of its proper divisors (431218012800).

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

149325187200 is a wasteful number, since it uses less digits than its factorization.

149325187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 149325187200 in words is "one hundred forty-nine billion, three hundred twenty-five million, one hundred eighty-seven thousand, two hundred".