149034816 has 252 divisors, whose sum is σ = 520342368. Its totient is φ = 41430528.

The previous prime is 149034797. The next prime is 149034859. The reversal of 149034816 is 618430941.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×149034816² = 44422752760307712, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4027950 + ... + 4027986.

Almost surely, 2^149034816 is an apocalyptic number.

149034816 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 149034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260171184).

149034816 is an abundant number, since it is smaller than the sum of its proper divisors (371307552).

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

149034816 is an frugal number, since it uses more digits than its factorization.

149034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 149034816 is about 12207.9816513624. The cubic root of 149034816 is about 530.1872081036.

The spelling of 149034816 in words is "one hundred forty-nine million, thirty-four thousand, eight hundred sixteen".