156765414113280 has 4800 divisors, whose sum is σ = 735543382210560. Its totient is φ = 31206351568896.

The previous prime is 156765414113251. The next prime is 156765414113317. The reversal of 156765414113280 is 82311414567651.

156765414113280 is a `hidden beast` number, since 1 + 5 + 6 + 7 + 6 + 541 + 4 + 1 + 13 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 3645707304939 + ... + 3645707304981.

Almost surely, 2^{156765414113280} is an apocalyptic number.

156765414113280 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 156765414113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367771691105280).

156765414113280 is an abundant number, since it is smaller than the sum of its proper divisors (578777968097280).

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

156765414113280 is an frugal number, since it uses more digits than its factorization.

156765414113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 156765414113280 in words is "one hundred fifty-six trillion, seven hundred sixty-five billion, four hundred fourteen million, one hundred thirteen thousand, two hundred eighty".