149583883600 has 60 divisors (see below), whose sum is σ = 360602099676. Its totient is φ = 59629296640.

The previous prime is 149583883583. The next prime is 149583883607. The reversal of 149583883600 is 6388385941.

149583883600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2625127696 + 146958755904 = 51236^2 + 383352^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149583883607) 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 11 ways as a sum of consecutive naturals, for example, 520957 + ... + 755356.

Almost surely, 2^149583883600 is an apocalyptic number.

149583883600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149583883600 is an abundant number, since it is smaller than the sum of its proper divisors (211018216076).

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

149583883600 is a wasteful number, since it uses less digits than its factorization.

149583883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276624 (or 1276613 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 149583883600 in words is "one hundred forty-nine billion, five hundred eighty-three million, eight hundred eighty-three thousand, six hundred".