149766400 has 108 divisors (see below), whose sum is σ = 423778432. Its totient is φ = 51333120.

The previous prime is 149766391. The next prime is 149766403. The reversal of 149766400 is 4667941.

It is a self number, because there is not a number n which added to its sum of digits gives 149766400.

It is not an unprimeable number, because it can be changed into a prime (149766403) 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, 43129 + ... + 46471.

Almost surely, 2^149766400 is an apocalyptic number.

149766400 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 149766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211889216).

149766400 is an abundant number, since it is smaller than the sum of its proper divisors (274012032).

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

149766400 is an equidigital number, since it uses as much as digits as its factorization.

149766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 149766400 is about 12237.9083180093. The cubic root of 149766400 is about 531.0533223513.

The spelling of 149766400 in words is "one hundred forty-nine million, seven hundred sixty-six thousand, four hundred".