150302880 has 576 divisors, whose sum is σ = 669247488. Its totient is φ = 29859840.

The previous prime is 150302857. The next prime is 150302881. The reversal of 150302880 is 88203051.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (150302881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062222 + ... + 4062258.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^150302880 is an apocalyptic number.

150302880 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 150302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334623744).

150302880 is an abundant number, since it is smaller than the sum of its proper divisors (518944608).

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

150302880 is a wasteful number, since it uses less digits than its factorization.

150302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150302880 is about 12259.8075025671. The cubic root of 150302880 is about 531.6866641893.

The spelling of 150302880 in words is "one hundred fifty million, three hundred two thousand, eight hundred eighty".