149397710400 has 189 divisors, whose sum is σ = 531159642403. Its totient is φ = 39827020800.

The previous prime is 149397710389. The next prime is 149397710401. The reversal of 149397710400 is 4017793941.

The square root of 149397710400 is 386520.

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

149397710400 is a `hidden beast` number, since 1 + 4 + 93 + 97 + 71 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3118999104 + 146278711296 = 55848^2 + 382464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149397710401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 46380790 + ... + 46384010.

Almost surely, 2^149397710400 is an apocalyptic number.

149397710400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149397710400 is the 386520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149397710400

149397710400 is an abundant number, since it is smaller than the sum of its proper divisors (381761932003).

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

149397710400 is an frugal number, since it uses more digits than its factorization.

149397710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 149397710400 in words is "one hundred forty-nine billion, three hundred ninety-seven million, seven hundred ten thousand, four hundred".