156405620611100 has 144 divisors (see below), whose sum is σ = 392576207639616. Its totient is φ = 52978663680000.

The previous prime is 156405620611099. The next prime is 156405620611147. The reversal of 156405620611100 is 1116026504651.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30193304 + ... + 34992096.

It is an arithmetic number, because the mean of its divisors is an integer number (2726223664164).

Almost surely, 2^{156405620611100} is an apocalyptic number.

156405620611100 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 156405620611100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196288103819808).

156405620611100 is an abundant number, since it is smaller than the sum of its proper divisors (236170587028516).

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

156405620611100 is a wasteful number, since it uses less digits than its factorization.

156405620611100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799376 (or 4799369 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 156405620611100 in words is "one hundred fifty-six trillion, four hundred five billion, six hundred twenty million, six hundred eleven thousand, one hundred".