149725440 has 216 divisors, whose sum is σ = 532343448. Its totient is φ = 38830080.

The previous prime is 149725427. The next prime is 149725447. The reversal of 149725440 is 44527941.

It is a happy number.

149725440 is a `hidden beast` number, since 1 + 49 + 72 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 141705216 = 2832^2 + 11904^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 149725395 and 149725404.

It is not an unprimeable number, because it can be changed into a prime (149725447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472162 + ... + 472478.

It is an arithmetic number, because the mean of its divisors is an integer number (2464553).

Almost surely, 2^149725440 is an apocalyptic number.

149725440 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 149725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266171724).

149725440 is an abundant number, since it is smaller than the sum of its proper divisors (382618008).

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

149725440 is a wasteful number, since it uses less digits than its factorization.

149725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 149725440 is about 12236.2347149767. The cubic root of 149725440 is about 531.0049048884.

The spelling of 149725440 in words is "one hundred forty-nine million, seven hundred twenty-five thousand, four hundred forty".