148960440115200 has 1680 divisors, whose sum is σ = 633365249172480. Its totient is φ = 34041650872320.

The previous prime is 148960440115181. The next prime is 148960440115217. The reversal of 148960440115200 is 2511044069841.

148960440115200 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 604 + 4 + 0 + 1 + 15 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 28217546161 + ... + 28217551439.

Almost surely, 2^{148960440115200} is an apocalyptic number.

148960440115200 is a gapful number since it is divisible by the number (10) 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 148960440115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316682624586240).

148960440115200 is an abundant number, since it is smaller than the sum of its proper divisors (484404809057280).

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

148960440115200 is an frugal number, since it uses more digits than its factorization.

148960440115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 148960440115200 in words is "one hundred forty-eight trillion, nine hundred sixty billion, four hundred forty million, one hundred fifteen thousand, two hundred".