149922400 has 72 divisors (see below), whose sum is σ = 368273304. Its totient is φ = 59596800.

The previous prime is 149922343. The next prime is 149922449. The reversal of 149922400 is 4229941.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 153915 + ... + 154885.

It is an arithmetic number, because the mean of its divisors is an integer number (5114907).

Almost surely, 2^149922400 is an apocalyptic number.

149922400 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 149922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184136652).

149922400 is an abundant number, since it is smaller than the sum of its proper divisors (218350904).

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

149922400 is a wasteful number, since it uses less digits than its factorization.

149922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 149922400 is about 12244.2802973470. The cubic root of 149922400 is about 531.2376440033.

The spelling of 149922400 in words is "one hundred forty-nine million, nine hundred twenty-two thousand, four hundred".