134101565280 has 360 divisors, whose sum is σ = 499503966192. Its totient is φ = 33877108224.

The previous prime is 134101565249. The next prime is 134101565281. The reversal of 134101565280 is 82565101431.

134101565280 is a `hidden beast` number, since 1 + 3 + 4 + 10 + 1 + 565 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×134101565280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134101565281) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4664229 + ... + 4692891.

Almost surely, 2^134101565280 is an apocalyptic number.

134101565280 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 134101565280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249751983096).

134101565280 is an abundant number, since it is smaller than the sum of its proper divisors (365402400912).

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

134101565280 is a wasteful number, since it uses less digits than its factorization.

134101565280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28728 (or 28692 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 134101565280 in words is "one hundred thirty-four billion, one hundred one million, five hundred sixty-five thousand, two hundred eighty".