149797440 has 168 divisors, whose sum is σ = 555013368. Its totient is φ = 36864000.

The previous prime is 149797429. The next prime is 149797457. The reversal of 149797440 is 44797941.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 145733184 = 2016^2 + 12072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35440 + ... + 39440.

It is an arithmetic number, because the mean of its divisors is an integer number (3303651).

Almost surely, 2^149797440 is an apocalyptic number.

149797440 is a gapful number since it is divisible by the number (10) 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 149797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277506684).

149797440 is an abundant number, since it is smaller than the sum of its proper divisors (405215928).

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

149797440 is a wasteful number, since it uses less digits than its factorization.

149797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 149797440 is about 12239.1764428821. The cubic root of 149797440 is about 531.0900078305.

The spelling of 149797440 in words is "one hundred forty-nine million, seven hundred ninety-seven thousand, four hundred forty".