149763443034240 has 384 divisors, whose sum is σ = 591088384972800. Its totient is φ = 34228304879616.

The previous prime is 149763443034209. The next prime is 149763443034251. The reversal of 149763443034240 is 42430344367941.

149763443034240 is a `hidden beast` number, since 1 + 4 + 97 + 6 + 3 + 4 + 4 + 303 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425562994 + ... + 425914766.

It is an arithmetic number, because the mean of its divisors is an integer number (1539292669200).

Almost surely, 2^{149763443034240} is an apocalyptic number.

149763443034240 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 149763443034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295544192486400).

149763443034240 is an abundant number, since it is smaller than the sum of its proper divisors (441324941938560).

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

149763443034240 is a wasteful number, since it uses less digits than its factorization.

149763443034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362364 (or 362349 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 149763443034240 in words is "one hundred forty-nine trillion, seven hundred sixty-three billion, four hundred forty-three million, thirty-four thousand, two hundred forty".