149375884331520 has 1920 divisors, whose sum is σ = 674236983214080. Its totient is φ = 29656793088000.

The previous prime is 149375884331503. The next prime is 149375884331543. The reversal of 149375884331520 is 25133488573941.

149375884331520 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 7 + 588 + 4 + 33 + 15 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 4344704730 + ... + 4344739110.

It is an arithmetic number, because the mean of its divisors is an integer number (351165095424).

Almost surely, 2^{149375884331520} is an apocalyptic number.

149375884331520 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 149375884331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337118491607040).

149375884331520 is an abundant number, since it is smaller than the sum of its proper divisors (524861098882560).

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

149375884331520 is a wasteful number, since it uses less digits than its factorization.

149375884331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34538 (or 34519 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 149375884331520 in words is "one hundred forty-nine trillion, three hundred seventy-five billion, eight hundred eighty-four million, three hundred thirty-one thousand, five hundred twenty".