149963925708800 has 672 divisors, whose sum is σ = 447841598803200. Its totient is φ = 48660267663360.

The previous prime is 149963925708799. The next prime is 149963925708853. The reversal of 149963925708800 is 8807529369941.

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 47 ways as a sum of consecutive naturals, for example, 34293143414 + ... + 34293147786.

It is an arithmetic number, because the mean of its divisors is an integer number (666430950600).

It is a 1-persistent number, because it is pandigital, but 2⋅149963925708800 = 299927851417600 is not.

Almost surely, 2^{149963925708800} is an apocalyptic number.

149963925708800 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 149963925708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223920799401600).

149963925708800 is an abundant number, since it is smaller than the sum of its proper divisors (297877673094400).

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

149963925708800 is a wasteful number, since it uses less digits than its factorization.

149963925708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 71.

The spelling of 149963925708800 in words is "one hundred forty-nine trillion, nine hundred sixty-three billion, nine hundred twenty-five million, seven hundred eight thousand, eight hundred".