149475024400 has 135 divisors (see below), whose sum is σ = 389124497991. Its totient is φ = 55153662720.

The previous prime is 149475024389. The next prime is 149475024407. The reversal of 149475024400 is 4420574941.

The square root of 149475024400 is 386620.

It is a perfect power (a square), and thus also a powerful number.

149475024400 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 4 ways, for example, as 38527408656 + 110947615744 = 196284^2 + 333088^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149475024407) 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 26 ways as a sum of consecutive naturals, for example, 100520457 + ... + 100521943.

Almost surely, 2^149475024400 is an apocalyptic number.

149475024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149475024400 is the 386620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149475024400

149475024400 is an abundant number, since it is smaller than the sum of its proper divisors (239649473591).

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

149475024400 is an equidigital number, since it uses as much as digits as its factorization.

149475024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 149475024400 in words is "one hundred forty-nine billion, four hundred seventy-five million, twenty-four thousand, four hundred".