149896800 has 216 divisors, whose sum is σ = 536215680. Its totient is φ = 39398400.

The previous prime is 149896793. The next prime is 149896801. The reversal of 149896800 is 8698941.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149896801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 784705 + ... + 784895.

It is an arithmetic number, because the mean of its divisors is an integer number (2482480).

Almost surely, 2^149896800 is an apocalyptic number.

149896800 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 149896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

149896800 is an abundant number, since it is smaller than the sum of its proper divisors (386318880).

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

149896800 is a wasteful number, since it uses less digits than its factorization.

149896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 149896800 is about 12243.2348666519. The cubic root of 149896800 is about 531.2074051201.

The spelling of 149896800 in words is "one hundred forty-nine million, eight hundred ninety-six thousand, eight hundred".