149448499200 has 2352 divisors, whose sum is σ = 746061374016. Its totient is φ = 28665446400.

The previous prime is 149448499181. The next prime is 149448499219. The reversal of 149448499200 is 2994844941.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 13! ⋅ 4!.

149448499200 is a `hidden beast` number, since 1 + 4 + 94 + 48 + 499 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149448499181) and next prime (149448499219).

It is a super-3 number, since 3×149448499200³ (a number of 35 digits) contains 333 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 167 ways as a sum of consecutive naturals, for example, 11496038394 + ... + 11496038406.

Almost surely, 2^149448499200 is an apocalyptic number.

149448499200 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 149448499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373030687008).

149448499200 is an abundant number, since it is smaller than the sum of its proper divisors (596612874816).

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

149448499200 is an equidigital number, since it uses as much as digits as its factorization.

149448499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 149448499200 in words is "one hundred forty-nine billion, four hundred forty-eight million, four hundred ninety-nine thousand, two hundred".