149479948800 has 1920 divisors, whose sum is σ = 696163776000. Its totient is φ = 31213486080.

The previous prime is 149479948799. The next prime is 149479948801. The reversal of 149479948800 is 8849974941.

It is a happy number.

149479948800 is a `hidden beast` number, since 1 + 49 + 479 + 9 + 48 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149479948799) and next prime (149479948801).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (149479948801) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1541030352 + ... + 1541030448.

It is an arithmetic number, because the mean of its divisors is an integer number (362585300).

Almost surely, 2^149479948800 is an apocalyptic number.

149479948800 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 149479948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348081888000).

149479948800 is an abundant number, since it is smaller than the sum of its proper divisors (546683827200).

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

149479948800 is an equidigital number, since it uses as much as digits as its factorization.

149479948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 149479948800 in words is "one hundred forty-nine billion, four hundred seventy-nine million, nine hundred forty-eight thousand, eight hundred".