150882480 has 320 divisors, whose sum is σ = 629959680. Its totient is φ = 32403456.

The previous prime is 150882451. The next prime is 150882481. The reversal of 150882480 is 84288051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150882481) 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 63 ways as a sum of consecutive naturals, for example, 256747 + ... + 257333.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2^150882480 is an apocalyptic number.

150882480 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 150882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

150882480 is an abundant number, since it is smaller than the sum of its proper divisors (479077200).

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

150882480 is a wasteful number, since it uses less digits than its factorization.

150882480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 150882480 is about 12283.4229757018. The cubic root of 150882480 is about 532.3692200161.

The spelling of 150882480 in words is "one hundred fifty million, eight hundred eighty-two thousand, four hundred eighty".