149076 has 36 divisors (see below), whose sum is σ = 389844. Its totient is φ = 48000.

The previous prime is 149069. The next prime is 149077. The reversal of 149076 is 670941.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 72900 = 276^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149077) by changing a digit.

149076 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1426 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (10829).

2¹⁴⁹⁰⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194922).

149076 is an abundant number, since it is smaller than the sum of its proper divisors (240768).

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

149076 is a wasteful number, since it uses less digits than its factorization.

149076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 149076 is about 386.1036130367. The cubic root of 149076 is about 53.0236040584.

The spelling of 149076 in words is "one hundred forty-nine thousand, seventy-six".