149286400 has 120 divisors (see below), whose sum is σ = 376750440. Its totient is φ = 58613760.

The previous prime is 149286377. The next prime is 149286407. The reversal of 149286400 is 4682941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149286407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369546 + ... + 1369654.

It is an arithmetic number, because the mean of its divisors is an integer number (3139587).

Almost surely, 2^149286400 is an apocalyptic number.

149286400 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 149286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375220).

149286400 is an abundant number, since it is smaller than the sum of its proper divisors (227464040).

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

149286400 is a wasteful number, since it uses less digits than its factorization.

149286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 149286400 is about 12218.2813848757. The cubic root of 149286400 is about 530.4853747475.

The spelling of 149286400 in words is "one hundred forty-nine million, two hundred eighty-six thousand, four hundred".