150382687520 has 192 divisors, whose sum is σ = 394115984640. Its totient is φ = 53864828928.

The previous prime is 150382687519. The next prime is 150382687577. The reversal of 150382687520 is 25786283051.

It is a super-2 number, since 2×150382687520² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27625919 + ... + 27631361.

It is an arithmetic number, because the mean of its divisors is an integer number (2052687420).

Almost surely, 2^150382687520 is an apocalyptic number.

150382687520 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 150382687520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197057992320).

150382687520 is an abundant number, since it is smaller than the sum of its proper divisors (243733297120).

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

150382687520 is a wasteful number, since it uses less digits than its factorization.

150382687520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 150382687520 in words is "one hundred fifty billion, three hundred eighty-two million, six hundred eighty-seven thousand, five hundred twenty".