149410800 has 540 divisors, whose sum is σ = 664627600. Its totient is φ = 31046400.

The previous prime is 149410771. The next prime is 149410819. The reversal of 149410800 is 8014941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13582795 + ... + 13582805.

Almost surely, 2^149410800 is an apocalyptic number.

149410800 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 149410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332313800).

149410800 is an abundant number, since it is smaller than the sum of its proper divisors (515216800).

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

149410800 is a wasteful number, since it uses less digits than its factorization.

149410800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 149410800 is about 12223.3710571184. The cubic root of 149410800 is about 530.6326845687.

The spelling of 149410800 in words is "one hundred forty-nine million, four hundred ten thousand, eight hundred".