149812416 has 294 divisors, whose sum is σ = 508048260. Its totient is φ = 43670016.

The previous prime is 149812357. The next prime is 149812417. The reversal of 149812416 is 614218941.

149812416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (149812417) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 7884855 + ... + 7884873.

Almost surely, 2^149812416 is an apocalyptic number.

149812416 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 149812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254024130).

149812416 is an abundant number, since it is smaller than the sum of its proper divisors (358235844).

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

149812416 is an equidigital number, since it uses as much as digits as its factorization.

149812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 37 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 149812416 is about 12239.7882334622. The cubic root of 149812416 is about 531.1077058164.

The spelling of 149812416 in words is "one hundred forty-nine million, eight hundred twelve thousand, four hundred sixteen".