150819480 has 192 divisors, whose sum is σ = 566879040. Its totient is φ = 34062336.

The previous prime is 150819463. The next prime is 150819523. The reversal of 150819480 is 84918051.

150819480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244132 + ... + 244748.

It is an arithmetic number, because the mean of its divisors is an integer number (2952495).

Almost surely, 2^150819480 is an apocalyptic number.

150819480 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 150819480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283439520).

150819480 is an abundant number, since it is smaller than the sum of its proper divisors (416059560).

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

150819480 is a wasteful number, since it uses less digits than its factorization.

150819480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 150819480 is about 12280.8582761955. The cubic root of 150819480 is about 532.2951139304.

The spelling of 150819480 in words is "one hundred fifty million, eight hundred nineteen thousand, four hundred eighty".