149315400 has 240 divisors, whose sum is σ = 559274100. Its totient is φ = 36702720.

The previous prime is 149315377. The next prime is 149315401. The reversal of 149315400 is 4513941.

149315400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8608356 + 140707044 = 2934^2 + 11862^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (149315401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 210246 + ... + 210954.

Almost surely, 2^149315400 is an apocalyptic number.

149315400 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 149315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279637050).

149315400 is an abundant number, since it is smaller than the sum of its proper divisors (409958700).

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

149315400 is a wasteful number, since it uses less digits than its factorization.

149315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149315400 is about 12219.4680735292. The cubic root of 149315400 is about 530.5197227743.

The spelling of 149315400 in words is "one hundred forty-nine million, three hundred fifteen thousand, four hundred".