149856 has 48 divisors (see below), whose sum is σ = 451584. Its totient is φ = 42624.

The previous prime is 149839. The next prime is 149861. The reversal of 149856 is 658941.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

149856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2¹⁴⁹⁸⁵⁶ is an apocalyptic number.

149856 is a gapful number since it is divisible by the number (16) 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 149856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792).

149856 is an abundant number, since it is smaller than the sum of its proper divisors (301728).

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

149856 is a wasteful number, since it uses less digits than its factorization.

149856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 149856 is about 387.1123867819. The cubic root of 149856 is about 53.1159204783.

It can be divided in two parts, 14 and 9856, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 149856 in words is "one hundred forty-nine thousand, eight hundred fifty-six".