149953440 has 192 divisors, whose sum is σ = 581527296. Its totient is φ = 31629312.

The previous prime is 149953429. The next prime is 149953457. The reversal of 149953440 is 44359941.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41964 + ... + 45396.

It is an arithmetic number, because the mean of its divisors is an integer number (3028788).

Almost surely, 2^149953440 is an apocalyptic number.

149953440 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 149953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290763648).

149953440 is an abundant number, since it is smaller than the sum of its proper divisors (431573856).

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

149953440 is a wasteful number, since it uses less digits than its factorization.

149953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 149953440 is about 12245.5477623502. The cubic root of 149953440 is about 531.2743040323.

The spelling of 149953440 in words is "one hundred forty-nine million, nine hundred fifty-three thousand, four hundred forty".