149835400 has 192 divisors, whose sum is σ = 424972800. Its totient is φ = 48672000.

The previous prime is 149835391. The next prime is 149835407. The reversal of 149835400 is 4538941.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149835407) 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 47 ways as a sum of consecutive naturals, for example, 4833385 + ... + 4833415.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2^149835400 is an apocalyptic number.

149835400 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 149835400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

149835400 is an abundant number, since it is smaller than the sum of its proper divisors (275137400).

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

149835400 is a wasteful number, since it uses less digits than its factorization.

149835400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 149835400 is about 12240.7271025867. The cubic root of 149835400 is about 531.1348650146.

The spelling of 149835400 in words is "one hundred forty-nine million, eight hundred thirty-five thousand, four hundred".