149109172800 has 672 divisors, whose sum is σ = 591056455680. Its totient is φ = 32238397440.

The previous prime is 149109172789. The next prime is 149109172829. The reversal of 149109172800 is 8271901941.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230462077 + ... + 230462723.

Almost surely, 2^149109172800 is an apocalyptic number.

149109172800 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 149109172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295528227840).

149109172800 is an abundant number, since it is smaller than the sum of its proper divisors (441947282880).

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

149109172800 is an equidigital number, since it uses as much as digits as its factorization.

149109172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 149109172800 in words is "one hundred forty-nine billion, one hundred nine million, one hundred seventy-two thousand, eight hundred".