148009478400 has 729 divisors, whose sum is σ = 618261731451. Its totient is φ = 33683005440.

The previous prime is 148009478387. The next prime is 148009478443. The reversal of 148009478400 is 4874900841.

The square root of 148009478400 is 384720.

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

148009478400 is a `hidden beast` number, since 1 + 480 + 0 + 94 + 7 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20200368384 + 127809110016 = 142128^2 + 357504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 646329486 + ... + 646329714.

Almost surely, 2^148009478400 is an apocalyptic number.

148009478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148009478400 is the 384720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148009478400

148009478400 is an abundant number, since it is smaller than the sum of its proper divisors (470252253051).

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

148009478400 is an equidigital number, since it uses as much as digits as its factorization.

148009478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 148009478400 in words is "one hundred forty-eight billion, nine million, four hundred seventy-eight thousand, four hundred".