150861305520 has 320 divisors, whose sum is σ = 535915699200. Its totient is φ = 38988472320.

The previous prime is 150861305519. The next prime is 150861305521. The reversal of 150861305520 is 25503168051.

It is a happy number.

150861305520 is a `hidden beast` number, since 1 + 50 + 86 + 1 + 3 + 0 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (150861305519) and next prime (150861305521).

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 (150861305521) 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, 9039904 + ... + 9056576.

It is an arithmetic number, because the mean of its divisors is an integer number (1674736560).

Almost surely, 2^150861305520 is an apocalyptic number.

150861305520 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 150861305520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267957849600).

150861305520 is an abundant number, since it is smaller than the sum of its proper divisors (385054393680).

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

150861305520 is a wasteful number, since it uses less digits than its factorization.

150861305520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825 (or 16813 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 150861305520 in words is "one hundred fifty billion, eight hundred sixty-one million, three hundred five thousand, five hundred twenty".