149796800 has 84 divisors (see below), whose sum is σ = 371054376. Its totient is φ = 59520000.

The previous prime is 149796799. The next prime is 149796827. The reversal of 149796800 is 8697941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401414 + ... + 401786.

It is an arithmetic number, because the mean of its divisors is an integer number (4417314).

Almost surely, 2^149796800 is an apocalyptic number.

149796800 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 149796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185527188).

149796800 is an abundant number, since it is smaller than the sum of its proper divisors (221257576).

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

149796800 is a wasteful number, since it uses less digits than its factorization.

149796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 149796800 is about 12239.1502973041. The cubic root of 149796800 is about 531.0892514801.

The spelling of 149796800 in words is "one hundred forty-nine million, seven hundred ninety-six thousand, eight hundred".