149400 has 72 divisors (see below), whose sum is σ = 507780. Its totient is φ = 39360.

The previous prime is 149399. The next prime is 149411. The reversal of 149400 is 4941.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1759 + ... + 1841.

2¹⁴⁹⁴⁰⁰ is an apocalyptic number.

149400 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 149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890).

149400 is an abundant number, since it is smaller than the sum of its proper divisors (358380).

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

149400 is a wasteful number, since it uses less digits than its factorization.

149400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 149400 is about 386.5229618018. The cubic root of 149400 is about 53.0619898855.

The spelling of 149400 in words is "one hundred forty-nine thousand, four hundred".