149930640 has 120 divisors (see below), whose sum is σ = 513147960. Its totient is φ = 39217152.

The previous prime is 149930639. The next prime is 149930659. The reversal of 149930640 is 46039941.

149930640 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 3 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 141705216 = 2868^2 + 11904^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 149930595 and 149930604.

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, 36196 + ... + 40124.

It is an arithmetic number, because the mean of its divisors is an integer number (4276233).

Almost surely, 2^149930640 is an apocalyptic number.

149930640 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 149930640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256573980).

149930640 is an abundant number, since it is smaller than the sum of its proper divisors (363217320).

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

149930640 is a wasteful number, since it uses less digits than its factorization.

149930640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 149930640 is about 12244.6167763634. The cubic root of 149930640 is about 531.2473764115.

The spelling of 149930640 in words is "one hundred forty-nine million, nine hundred thirty thousand, six hundred forty".