149399747777280 has 2304 divisors, whose sum is σ = 658653327360000. Its totient is φ = 27861752217600.

The previous prime is 149399747777239. The next prime is 149399747777323. The reversal of 149399747777280 is 82777747993941.

149399747777280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (84) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 149399747777193 and 149399747777202.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19922618971 + ... + 19922626469.

It is an arithmetic number, because the mean of its divisors is an integer number (285873840000).

Almost surely, 2^{149399747777280} is an apocalyptic number.

149399747777280 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 149399747777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329326663680000).

149399747777280 is an abundant number, since it is smaller than the sum of its proper divisors (509253579582720).

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

149399747777280 is a wasteful number, since it uses less digits than its factorization.

149399747777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 9409768704, while the sum is 84.

The spelling of 149399747777280 in words is "one hundred forty-nine trillion, three hundred ninety-nine billion, seven hundred forty-seven million, seven hundred seventy-seven thousand, two hundred eighty".