281157146506720 has 192 divisors, whose sum is σ = 730448710790400. Its totient is φ = 101419171983360.

The previous prime is 281157146506699. The next prime is 281157146506763. The reversal of 281157146506720 is 27605641751182.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127760347 + ... + 129942373.

It is an arithmetic number, because the mean of its divisors is an integer number (3804420368700).

Almost surely, 2^{281157146506720} is an apocalyptic number.

281157146506720 is a gapful number since it is divisible by the number (20) 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 281157146506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365224355395200).

281157146506720 is an abundant number, since it is smaller than the sum of its proper divisors (449291564283680).

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

281157146506720 is a wasteful number, since it uses less digits than its factorization.

281157146506720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182641 (or 2182633 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 281157146506720 in words is "two hundred eighty-one trillion, one hundred fifty-seven billion, one hundred forty-six million, five hundred six thousand, seven hundred twenty".