149130893721600 has 2592 divisors, whose sum is σ = 649277292343680. Its totient is φ = 31962609745920.

The previous prime is 149130893721499. The next prime is 149130893721631. The reversal of 149130893721600 is 6127398031941.

149130893721600 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 3 + 0 + 8 + 9 + 3 + 7 + 21 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 757009612702 + ... + 757009612898.

It is an arithmetic number, because the mean of its divisors is an integer number (250492782540).

Almost surely, 2^{149130893721600} is an apocalyptic number.

149130893721600 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 149130893721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324638646171840).

149130893721600 is an abundant number, since it is smaller than the sum of its proper divisors (500146398622080).

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

149130893721600 is a wasteful number, since it uses less digits than its factorization.

149130893721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 149130893721600 in words is "one hundred forty-nine trillion, one hundred thirty billion, eight hundred ninety-three million, seven hundred twenty-one thousand, six hundred".