149382807552 has 480 divisors, whose sum is σ = 490089465600. Its totient is φ = 45148078080.

The previous prime is 149382807547. The next prime is 149382807647. The reversal of 149382807552 is 255708283941.

149382807552 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 8 + 2 + 80 + 7 + 552 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394149699 + ... + 394150077.

It is an arithmetic number, because the mean of its divisors is an integer number (1021019720).

Almost surely, 2^149382807552 is an apocalyptic number.

149382807552 is a gapful number since it is divisible by the number (12) 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 149382807552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245044732800).

149382807552 is an abundant number, since it is smaller than the sum of its proper divisors (340706658048).

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

149382807552 is an frugal number, since it uses more digits than its factorization.

149382807552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 149382807552 in words is "one hundred forty-nine billion, three hundred eighty-two million, eight hundred seven thousand, five hundred fifty-two".