150934043688960 has 1088 divisors, whose sum is σ = 579009250455552. Its totient is φ = 32850007031808.

The previous prime is 150934043688931. The next prime is 150934043688971. The reversal of 150934043688960 is 69886340439051.

It is a junction number, because it is equal to n+sod(n) for n = 150934043688891 and 150934043688900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11966539614 + ... + 11966552226.

It is an arithmetic number, because the mean of its divisors is an integer number (532177619904).

Almost surely, 2^{150934043688960} is an apocalyptic number.

150934043688960 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 150934043688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289504625227776).

150934043688960 is an abundant number, since it is smaller than the sum of its proper divisors (428075206766592).

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

150934043688960 is an equidigital number, since it uses as much as digits as its factorization.

150934043688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12744 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 150934043688960 in words is "one hundred fifty trillion, nine hundred thirty-four billion, forty-three million, six hundred eighty-eight thousand, nine hundred sixty".