156540646157600 has 144 divisors (see below), whose sum is σ = 391056650772480. Its totient is φ = 61157802316800.

The previous prime is 156540646157569. The next prime is 156540646157603. The reversal of 156540646157600 is 6751646045651.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (156540646157603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162343066 + ... + 1162477734.

It is an arithmetic number, because the mean of its divisors is an integer number (2715671185920).

Almost surely, 2^{156540646157600} is an apocalyptic number.

156540646157600 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 156540646157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195528325386240).

156540646157600 is an abundant number, since it is smaller than the sum of its proper divisors (234516004614880).

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

156540646157600 is a wasteful number, since it uses less digits than its factorization.

156540646157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168523 (or 168510 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 56.

The spelling of 156540646157600 in words is "one hundred fifty-six trillion, five hundred forty billion, six hundred forty-six million, one hundred fifty-seven thousand, six hundred".