148948980940800 has 2160 divisors, whose sum is σ = 584759902970880. Its totient is φ = 36125540352000.

The previous prime is 148948980940783. The next prime is 148948980940811. The reversal of 148948980940800 is 8049089849841.

148948980940800 is a `hidden beast` number, since 1 + 48 + 94 + 8 + 98 + 0 + 9 + 408 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 160332594736 + ... + 160332595664.

Almost surely, 2^{148948980940800} is an apocalyptic number.

148948980940800 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 148948980940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292379951485440).

148948980940800 is an abundant number, since it is smaller than the sum of its proper divisors (435810922030080).

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

148948980940800 is a wasteful number, since it uses less digits than its factorization.

148948980940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 148948980940800 in words is "one hundred forty-eight trillion, nine hundred forty-eight billion, nine hundred eighty million, nine hundred forty thousand, eight hundred".