134781853409280 has 4704 divisors, whose sum is σ = 635004809483904. Its totient is φ = 26658865152000.

The previous prime is 134781853409251. The next prime is 134781853409321. The reversal of 134781853409280 is 82904358187431.

134781853409280 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 8 + 1 + 8 + 5 + 340 + 9 + 280 = 666.

It is a super-2 number, since 2×134781853409280² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2209538580450 + ... + 2209538580510.

Almost surely, 2^{134781853409280} is an apocalyptic number.

134781853409280 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 134781853409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317502404741952).

134781853409280 is an abundant number, since it is smaller than the sum of its proper divisors (500222956074624).

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

134781853409280 is an frugal number, since it uses more digits than its factorization.

134781853409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 134781853409280 in words is "one hundred thirty-four trillion, seven hundred eighty-one billion, eight hundred fifty-three million, four hundred nine thousand, two hundred eighty".