149037408 has 120 divisors (see below), whose sum is σ = 472138128. Its totient is φ = 45847296.

The previous prime is 149037407. The next prime is 149037439. The reversal of 149037408 is 804730941.

It is a happy number.

It is a super-3 number, since 3×149037408³ (a number of 25 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (149037407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31485 + ... + 35907.

Almost surely, 2^149037408 is an apocalyptic number.

149037408 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 149037408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236069064).

149037408 is an abundant number, since it is smaller than the sum of its proper divisors (323100720).

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

149037408 is a wasteful number, since it uses less digits than its factorization.

149037408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 149037408 is about 12208.0878109555. The cubic root of 149037408 is about 530.1902817417.

The spelling of 149037408 in words is "one hundred forty-nine million, thirty-seven thousand, four hundred eight".