149840400 has 240 divisors, whose sum is σ = 514788480. Its totient is φ = 37171200.

The previous prime is 149840399. The next prime is 149840407. The reversal of 149840400 is 4048941.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (149840407) 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 47 ways as a sum of consecutive naturals, for example, 1683556 + ... + 1683644.

It is an arithmetic number, because the mean of its divisors is an integer number (2144952).

Almost surely, 2^149840400 is an apocalyptic number.

149840400 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 149840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257394240).

149840400 is an abundant number, since it is smaller than the sum of its proper divisors (364948080).

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

149840400 is a wasteful number, since it uses less digits than its factorization.

149840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 149840400 is about 12240.9313371165. The cubic root of 149840400 is about 531.1407729304.

The spelling of 149840400 in words is "one hundred forty-nine million, eight hundred forty thousand, four hundred".