149888358400 has 144 divisors (see below), whose sum is σ = 405418660920. Its totient is φ = 54504652800.

The previous prime is 149888358397. The next prime is 149888358419. The reversal of 149888358400 is 4853888941.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 430132 + ... + 696268.

Almost surely, 2^149888358400 is an apocalyptic number.

149888358400 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 149888358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202709330460).

149888358400 is an abundant number, since it is smaller than the sum of its proper divisors (255530302520).

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

149888358400 is a wasteful number, since it uses less digits than its factorization.

149888358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266180 (or 266155 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 58.

The spelling of 149888358400 in words is "one hundred forty-nine billion, eight hundred eighty-eight million, three hundred fifty-eight thousand, four hundred".