149783040 has 320 divisors, whose sum is σ = 583355520. Its totient is φ = 36126720.

The previous prime is 149783033. The next prime is 149783047. The reversal of 149783040 is 40387941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149783033) and next prime (149783047).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 149782986 and 149783004.

It is not an unprimeable number, because it can be changed into a prime (149783047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760222 + ... + 760418.

It is an arithmetic number, because the mean of its divisors is an integer number (1822986).

Almost surely, 2^149783040 is an apocalyptic number.

149783040 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 149783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677760).

149783040 is an abundant number, since it is smaller than the sum of its proper divisors (433572480).

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

149783040 is a wasteful number, since it uses less digits than its factorization.

149783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

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

The square root of 149783040 is about 12238.5881538681. The cubic root of 149783040 is about 531.0729894240.

The spelling of 149783040 in words is "one hundred forty-nine million, seven hundred eighty-three thousand, forty".