149128896 has 224 divisors, whose sum is σ = 489825792. Its totient is φ = 39075840.

The previous prime is 149128877. The next prime is 149128901. The reversal of 149128896 is 698821941.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1393675 + ... + 1393781.

Almost surely, 2^149128896 is an apocalyptic number.

149128896 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 149128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244912896).

149128896 is an abundant number, since it is smaller than the sum of its proper divisors (340696896).

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

149128896 is a wasteful number, since it uses less digits than its factorization.

149128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 149128896 is about 12211.8342602575. The cubic root of 149128896 is about 530.2987469636.

The spelling of 149128896 in words is "one hundred forty-nine million, one hundred twenty-eight thousand, eight hundred ninety-six".