149347648800 has 432 divisors, whose sum is σ = 628331346720. Its totient is φ = 34136363520.

The previous prime is 149347648783. The next prime is 149347648841. The reversal of 149347648800 is 8846743941.

149347648800 is a `hidden beast` number, since 1 + 4 + 93 + 4 + 76 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-4 number, since 4×149347648800⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 987847 + ... + 1128953.

It is an arithmetic number, because the mean of its divisors is an integer number (1454470710).

Almost surely, 2^149347648800 is an apocalyptic number.

149347648800 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 149347648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314165673360).

149347648800 is an abundant number, since it is smaller than the sum of its proper divisors (478983697920).

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

149347648800 is a wasteful number, since it uses less digits than its factorization.

149347648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141150 (or 141124 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 149347648800 in words is "one hundred forty-nine billion, three hundred forty-seven million, six hundred forty-eight thousand, eight hundred".