149629248 has 112 divisors (see below), whose sum is σ = 443910720. Its totient is φ = 49420800.

The previous prime is 149629243. The next prime is 149629297. The reversal of 149629248 is 842926941.

149629248 is a `hidden beast` number, since 14 + 9 + 629 + 2 + 4 + 8 = 666.

149629248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (149629243) 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 15 ways as a sum of consecutive naturals, for example, 226038 + ... + 226698.

Almost surely, 2^149629248 is an apocalyptic number.

149629248 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 149629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221955360).

149629248 is an abundant number, since it is smaller than the sum of its proper divisors (294281472).

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

149629248 is a wasteful number, since it uses less digits than its factorization.

149629248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 797 counting only the distinct ones).

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

The square root of 149629248 is about 12232.3034625536. The cubic root of 149629248 is about 530.8911647734.

The spelling of 149629248 in words is "one hundred forty-nine million, six hundred twenty-nine thousand, two hundred forty-eight".