149364176 has 80 divisors (see below), whose sum is σ = 336634704. Its totient is φ = 63578112.

The previous prime is 149364109. The next prime is 149364179. The reversal of 149364176 is 671463941.

149364176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 524176 + 148840000 = 724^2 + 12200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149364179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187010 + ... + 187806.

Almost surely, 2^149364176 is an apocalyptic number.

149364176 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 149364176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168317352).

149364176 is an abundant number, since it is smaller than the sum of its proper divisors (187270528).

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

149364176 is a wasteful number, since it uses less digits than its factorization.

149364176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 149364176 is about 12221.4637421219. The cubic root of 149364176 is about 530.5774837573.

The spelling of 149364176 in words is "one hundred forty-nine million, three hundred sixty-four thousand, one hundred seventy-six".