148541284800 has 252 divisors, whose sum is σ = 533887436160. Its totient is φ = 39165603840.

The previous prime is 148541284799. The next prime is 148541284807. The reversal of 148541284800 is 8482145841.

148541284800 is a `hidden beast` number, since 1 + 4 + 8 + 541 + 28 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×148541284800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148541284807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1223649 + ... + 1339551.

Almost surely, 2^148541284800 is an apocalyptic number.

148541284800 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 148541284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266943718080).

148541284800 is an abundant number, since it is smaller than the sum of its proper divisors (385346151360).

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

148541284800 is a wasteful number, since it uses less digits than its factorization.

148541284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116020 (or 116002 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 148541284800 in words is "one hundred forty-eight billion, five hundred forty-one million, two hundred eighty-four thousand, eight hundred".