149836400 has 120 divisors (see below), whose sum is σ = 418842240. Its totient is φ = 50446080.

The previous prime is 149836399. The next prime is 149836403. The reversal of 149836400 is 4638941.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149836403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 164747 + ... + 165653.

It is an arithmetic number, because the mean of its divisors is an integer number (3490352).

Almost surely, 2^149836400 is an apocalyptic number.

149836400 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 149836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209421120).

149836400 is an abundant number, since it is smaller than the sum of its proper divisors (269005840).

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

149836400 is a wasteful number, since it uses less digits than its factorization.

149836400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 149836400 is about 12240.7679497652. The cubic root of 149836400 is about 531.1360466083.

The spelling of 149836400 in words is "one hundred forty-nine million, eight hundred thirty-six thousand, four hundred".