149952761280 has 336 divisors, whose sum is σ = 590403939840. Its totient is φ = 34219874304.

The previous prime is 149952761269. The next prime is 149952761323. The reversal of 149952761280 is 82167259941.

It is a happy number.

149952761280 is a `hidden beast` number, since 1 + 4 + 9 + 95 + 276 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13279797 + ... + 13291083.

Almost surely, 2^149952761280 is an apocalyptic number.

149952761280 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 149952761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295201969920).

149952761280 is an abundant number, since it is smaller than the sum of its proper divisors (440451178560).

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

149952761280 is a wasteful number, since it uses less digits than its factorization.

149952761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11976 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 149952761280 in words is "one hundred forty-nine billion, nine hundred fifty-two million, seven hundred sixty-one thousand, two hundred eighty".