150125713920 has 1440 divisors, whose sum is σ = 667065711312. Its totient is φ = 30916214784.

The previous prime is 150125713847. The next prime is 150125713921. The reversal of 150125713920 is 29317521051.

150125713920 is a `hidden beast` number, since 1 + 50 + 1 + 2 + 571 + 39 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34275338496 + 115850375424 = 185136^2 + 340368^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 (150125713921) 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 143 ways as a sum of consecutive naturals, for example, 777853344 + ... + 777853536.

Almost surely, 2^150125713920 is an apocalyptic number.

150125713920 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 150125713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333532855656).

150125713920 is an abundant number, since it is smaller than the sum of its proper divisors (516939997392).

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

150125713920 is a wasteful number, since it uses less digits than its factorization.

150125713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 150125713920 in words is "one hundred fifty billion, one hundred twenty-five million, seven hundred thirteen thousand, nine hundred twenty".