149198400 has 252 divisors, whose sum is σ = 571794132. Its totient is φ = 36679680.

The previous prime is 149198383. The next prime is 149198407. The reversal of 149198400 is 4891941.

It can be written as a sum of positive squares in 6 ways, for example, as 17040384 + 132158016 = 4128^2 + 11496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (149198407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186802 + ... + 187598.

Almost surely, 2^149198400 is an apocalyptic number.

149198400 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 149198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285897066).

149198400 is an abundant number, since it is smaller than the sum of its proper divisors (422595732).

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

149198400 is a wasteful number, since it uses less digits than its factorization.

149198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149198400 is about 12214.6796928941. The cubic root of 149198400 is about 530.3811190156.

The spelling of 149198400 in words is "one hundred forty-nine million, one hundred ninety-eight thousand, four hundred".