149600 has 72 divisors (see below), whose sum is σ = 421848. Its totient is φ = 51200.

The previous prime is 149579. The next prime is 149603. The reversal of 149600 is 6941.

149600 = T₅₁ + T₅₂ + ... + T₁₀₀.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 149600.

It is not an unprimeable number, because it can be changed into a prime (149603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8792 + ... + 8808.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2¹⁴⁹⁶⁰⁰ is an apocalyptic number.

149600 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 149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924).

149600 is an abundant number, since it is smaller than the sum of its proper divisors (272248).

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

149600 is a wasteful number, since it uses less digits than its factorization.

149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 149600 is about 386.7815921163. The cubic root of 149600 is about 53.0856571455.

The spelling of 149600 in words is "one hundred forty-nine thousand, six hundred".