149291928 has 96 divisors (see below), whose sum is σ = 417044160. Its totient is φ = 48222720.

The previous prime is 149291921. The next prime is 149291957. The reversal of 149291928 is 829192941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149291921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531148 + ... + 531428.

It is an arithmetic number, because the mean of its divisors is an integer number (4344210).

Almost surely, 2^149291928 is an apocalyptic number.

149291928 is a gapful number since it is divisible by the number (18) 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 149291928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208522080).

149291928 is an abundant number, since it is smaller than the sum of its proper divisors (267752232).

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

149291928 is a wasteful number, since it uses less digits than its factorization.

149291928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 490 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 149291928 is about 12218.5076011762. The cubic root of 149291928 is about 530.4919225352.

The spelling of 149291928 in words is "one hundred forty-nine million, two hundred ninety-one thousand, nine hundred twenty-eight".