156945065840640 has 4212 divisors, whose sum is σ = 725970703325868. Its totient is φ = 32446418780160.

The previous prime is 156945065840597. The next prime is 156945065840657. The reversal of 156945065840640 is 46048560549651.

156945065840640 is a `hidden beast` number, since 1 + 5 + 6 + 9 + 4 + 5 + 0 + 6 + 584 + 0 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116155282231296 + 40789783609344 = 10777536^2 + 6386688^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 796675461022 + ... + 796675461218.

It is an arithmetic number, because the mean of its divisors is an integer number (172357716839).

Almost surely, 2^{156945065840640} is an apocalyptic number.

156945065840640 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 156945065840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362985351662934).

156945065840640 is an abundant number, since it is smaller than the sum of its proper divisors (569025637485228).

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

156945065840640 is an frugal number, since it uses more digits than its factorization.

156945065840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 156945065840640 in words is "one hundred fifty-six trillion, nine hundred forty-five billion, sixty-five million, eight hundred forty thousand, six hundred forty".