149776 has 40 divisors (see below), whose sum is σ = 339264. Its totient is φ = 63360.

The previous prime is 149771. The next prime is 149791. The reversal of 149776 is 677941.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (149771) by changing a digit.

149776 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4030 + ... + 4066.

2¹⁴⁹⁷⁷⁶ is an apocalyptic number.

149776 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 149776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632).

149776 is an abundant number, since it is smaller than the sum of its proper divisors (189488).

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

149776 is a wasteful number, since it uses less digits than its factorization.

149776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its digits is 10584, while the sum is 34.

The square root of 149776 is about 387.0090438220. The cubic root of 149776 is about 53.1064668917.

The spelling of 149776 in words is "one hundred forty-nine thousand, seven hundred seventy-six".