149788416 has 144 divisors (see below), whose sum is σ = 420311808. Its totient is φ = 47308800.

The previous prime is 149788409. The next prime is 149788421. The reversal of 149788416 is 614887941.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109661 + ... + 2109731.

It is an arithmetic number, because the mean of its divisors is an integer number (2918832).

Almost surely, 2^149788416 is an apocalyptic number.

149788416 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 149788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210155904).

149788416 is an abundant number, since it is smaller than the sum of its proper divisors (270523392).

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

149788416 is an equidigital number, since it uses as much as digits as its factorization.

149788416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 149788416 is about 12238.8077850745. The cubic root of 149788416 is about 531.0793430901.

The spelling of 149788416 in words is "one hundred forty-nine million, seven hundred eighty-eight thousand, four hundred sixteen".