149628124800 has 2688 divisors, whose sum is σ = 746510256000. Its totient is φ = 29262643200.

The previous prime is 149628124799. The next prime is 149628124813. The reversal of 149628124800 is 8421826941.

149628124800 is a `hidden beast` number, since 1 + 4 + 9 + 628 + 12 + 4 + 8 + 0 + 0 = 666.

149628124800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8801654392 + ... + 8801654408.

Almost surely, 2^149628124800 is an apocalyptic number.

149628124800 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 149628124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373255128000).

149628124800 is an abundant number, since it is smaller than the sum of its proper divisors (596882131200).

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

149628124800 is an equidigital number, since it uses as much as digits as its factorization.

149628124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 149628124800 in words is "one hundred forty-nine billion, six hundred twenty-eight million, one hundred twenty-four thousand, eight hundred".