150295440 has 80 divisors (see below), whose sum is σ = 480969216. Its totient is φ = 38784000.

The previous prime is 150295433. The next prime is 150295441. The reversal of 150295440 is 44592051.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150295398 and 150295407.

It is not an unprimeable number, because it can be changed into a prime (150295441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2661 + ... + 17540.

Almost surely, 2^150295440 is an apocalyptic number.

150295440 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 150295440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240484608).

150295440 is an abundant number, since it is smaller than the sum of its proper divisors (330673776).

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

150295440 is a wasteful number, since it uses less digits than its factorization.

150295440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20248 (or 20242 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 150295440 is about 12259.5040682729. The cubic root of 150295440 is about 531.6778912058.

The spelling of 150295440 in words is "one hundred fifty million, two hundred ninety-five thousand, four hundred forty".