150020875236960 has 6912 divisors, whose sum is σ = 745332690493440. Its totient is φ = 27819019468800.

The previous prime is 150020875236919. The next prime is 150020875237019. The reversal of 150020875236960 is 69632578020051.

150020875236960 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 20 + 8 + 7 + 523 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 150020875236897 and 150020875236906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2112970073725 + ... + 2112970073795.

It is an arithmetic number, because the mean of its divisors is an integer number (107831697120).

Almost surely, 2^{150020875236960} is an apocalyptic number.

150020875236960 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 150020875236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372666345246720).

150020875236960 is an abundant number, since it is smaller than the sum of its proper divisors (595311815256480).

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

150020875236960 is a wasteful number, since it uses less digits than its factorization.

150020875236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 150020875236960 in words is "one hundred fifty trillion, twenty billion, eight hundred seventy-five million, two hundred thirty-six thousand, nine hundred sixty".