149522400 has 216 divisors, whose sum is σ = 555511320. Its totient is φ = 37739520.

The previous prime is 149522383. The next prime is 149522411. The reversal of 149522400 is 4225941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136254 + ... + 137346.

Almost surely, 2^149522400 is an apocalyptic number.

149522400 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 149522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277755660).

149522400 is an abundant number, since it is smaller than the sum of its proper divisors (405988920).

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

149522400 is a wasteful number, since it uses less digits than its factorization.

149522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 149522400 is about 12227.9352304467. The cubic root of 149522400 is about 530.7647675452.

The spelling of 149522400 in words is "one hundred forty-nine million, five hundred twenty-two thousand, four hundred".