149938104000 has 448 divisors, whose sum is σ = 520374067200. Its totient is φ = 37967564800.

The previous prime is 149938103927. The next prime is 149938104011. The reversal of 149938104000 is 401839941.

149938104000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149938104000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149938104000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82247089 + ... + 82248911.

Almost surely, 2^149938104000 is an apocalyptic number.

149938104000 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 149938104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260187033600).

149938104000 is an abundant number, since it is smaller than the sum of its proper divisors (370435963200).

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

149938104000 is a wasteful number, since it uses less digits than its factorization.

149938104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 149938104000 in words is "one hundred forty-nine billion, nine hundred thirty-eight million, one hundred four thousand".