149681664 has 120 divisors (see below), whose sum is σ = 471422952. Its totient is φ = 45342720.

The previous prime is 149681657. The next prime is 149681681. The reversal of 149681664 is 466186941.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49212 + ... + 52164.

Almost surely, 2^149681664 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 149681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235711476).

149681664 is an abundant number, since it is smaller than the sum of its proper divisors (321741288).

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

149681664 is a wasteful number, since it uses less digits than its factorization.

149681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2969 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 149681664 is about 12234.4457986457. The cubic root of 149681664 is about 530.9531489620.

The spelling of 149681664 in words is "one hundred forty-nine million, six hundred eighty-one thousand, six hundred sixty-four".