150309040 has 80 divisors (see below), whose sum is σ = 402474240. Its totient is φ = 51137280.

The previous prime is 150309031. The next prime is 150309041. The reversal of 150309040 is 40903051.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (150309041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76875 + ... + 78805.

It is an arithmetic number, because the mean of its divisors is an integer number (5030928).

Almost surely, 2^150309040 is an apocalyptic number.

150309040 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 150309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201237120).

150309040 is an abundant number, since it is smaller than the sum of its proper divisors (252165200).

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

150309040 is a wasteful number, since it uses less digits than its factorization.

150309040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 150309040 is about 12260.0587274287. The cubic root of 150309040 is about 531.6939276232.

The spelling of 150309040 in words is "one hundred fifty million, three hundred nine thousand, forty".