149882400 has 252 divisors, whose sum is σ = 550734282. Its totient is φ = 39813120.

The previous prime is 149882399. The next prime is 149882401. The reversal of 149882400 is 4288941.

It is an interprime number because it is at equal distance from previous prime (149882399) and next prime (149882401).

It can be written as a sum of positive squares in 3 ways, for example, as 143712144 + 6170256 = 11988^2 + 2484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149882401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 583072 + ... + 583328.

Almost surely, 2^149882400 is an apocalyptic number.

149882400 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 149882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275367141).

149882400 is an abundant number, since it is smaller than the sum of its proper divisors (400851882).

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

149882400 is an equidigital number, since it uses as much as digits as its factorization.

149882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 149882400 is about 12242.6467726550. The cubic root of 149882400 is about 531.1903942353.

The spelling of 149882400 in words is "one hundred forty-nine million, eight hundred eighty-two thousand, four hundred".