149094800 has 60 divisors (see below), whose sum is σ = 370580820. Its totient is φ = 57576960.

The previous prime is 149094787. The next prime is 149094823. The reversal of 149094800 is 8490941.

It can be written as a sum of positive squares in 6 ways, for example, as 10137856 + 138956944 = 3184^2 + 11788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5174 + ... + 18026.

It is an arithmetic number, because the mean of its divisors is an integer number (6176347).

Almost surely, 2^149094800 is an apocalyptic number.

149094800 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 149094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185290410).

149094800 is an abundant number, since it is smaller than the sum of its proper divisors (221486020).

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

149094800 is a wasteful number, since it uses less digits than its factorization.

149094800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12900 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 149094800 is about 12210.4381575765. The cubic root of 149094800 is about 530.2583290327.

The spelling of 149094800 in words is "one hundred forty-nine million, ninety-four thousand, eight hundred".