149054387328000 has 7040 divisors, whose sum is σ = 741891722158080. Its totient is φ = 29208453120000.

The previous prime is 149054387327981. The next prime is 149054387328013. The reversal of 149054387328000 is 823783450941.

It is a happy number.

149054387328000 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 543 + 8 + 73 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 639 ways as a sum of consecutive naturals, for example, 2099357567965 + ... + 2099357568035.

Almost surely, 2^{149054387328000} is an apocalyptic number.

149054387328000 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 149054387328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370945861079040).

149054387328000 is an abundant number, since it is smaller than the sum of its proper divisors (592837334830080).

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

149054387328000 is an equidigital number, since it uses as much as digits as its factorization.

149054387328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 149054387328000 in words is "one hundred forty-nine trillion, fifty-four billion, three hundred eighty-seven million, three hundred twenty-eight thousand".