149628581424 has 640 divisors, whose sum is σ = 541036800000. Its totient is φ = 38626689024.

The previous prime is 149628581413. The next prime is 149628581429. The reversal of 149628581424 is 424185826941.

149628581424 is a `hidden beast` number, since 1 + 4 + 9 + 62 + 85 + 81 + 424 = 666.

149628581424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (149628581429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148293432 + ... + 148294440.

It is an arithmetic number, because the mean of its divisors is an integer number (845370000).

Almost surely, 2^149628581424 is an apocalyptic number.

149628581424 is a gapful number since it is divisible by the number (14) 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 149628581424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270518400000).

149628581424 is an abundant number, since it is smaller than the sum of its proper divisors (391408218576).

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

149628581424 is a wasteful number, since it uses less digits than its factorization.

149628581424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1158 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 149628581424 in words is "one hundred forty-nine billion, six hundred twenty-eight million, five hundred eighty-one thousand, four hundred twenty-four".