150307040 has 96 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 54964224.

The previous prime is 150307021. The next prime is 150307057. The reversal of 150307040 is 40703051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 263876 + ... + 264444.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^150307040 is an apocalyptic number.

150307040 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 150307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

150307040 is an abundant number, since it is smaller than the sum of its proper divisors (235797280).

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

150307040 is a wasteful number, since it uses less digits than its factorization.

150307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 150307040 is about 12259.9771614795. The cubic root of 150307040 is about 531.6915693872.

The spelling of 150307040 in words is "one hundred fifty million, three hundred seven thousand, forty".