134826135360 has 448 divisors, whose sum is σ = 502106744832. Its totient is φ = 30010466304.

The previous prime is 134826135337. The next prime is 134826135373. The reversal of 134826135360 is 63531628431.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×134826135360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 158060694 + ... + 158061546.

It is an arithmetic number, because the mean of its divisors is an integer number (1120773984).

Almost surely, 2^134826135360 is an apocalyptic number.

134826135360 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 134826135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251053372416).

134826135360 is an abundant number, since it is smaller than the sum of its proper divisors (367280609472).

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

134826135360 is a wasteful number, since it uses less digits than its factorization.

134826135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 134826135360 in words is "one hundred thirty-four billion, eight hundred twenty-six million, one hundred thirty-five thousand, three hundred sixty".