149382481248 has 288 divisors, whose sum is σ = 570370574592. Its totient is φ = 35815910400.

The previous prime is 149382481229. The next prime is 149382481249. The reversal of 149382481248 is 842184283941.

149382481248 is a `hidden beast` number, since 1 + 49 + 3 + 82 + 481 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 149382481194 and 149382481203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149382481249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29203 + ... + 547373.

It is an arithmetic number, because the mean of its divisors is an integer number (1980453384).

Almost surely, 2^149382481248 is an apocalyptic number.

149382481248 is a gapful number since it is divisible by the number (18) 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 149382481248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285185287296).

149382481248 is an abundant number, since it is smaller than the sum of its proper divisors (420988093344).

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

149382481248 is a wasteful number, since it uses less digits than its factorization.

149382481248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518218 (or 518207 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 149382481248 in words is "one hundred forty-nine billion, three hundred eighty-two million, four hundred eighty-one thousand, two hundred forty-eight".