134261399715840 has 640 divisors, whose sum is σ = 483095569421520. Its totient is φ = 35672810323968.

The previous prime is 134261399715797. The next prime is 134261399715853. The reversal of 134261399715840 is 48517993162431.

134261399715840 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 613 + 9 + 9 + 7 + 1 + 5 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×134261399715840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3676059819 + ... + 3676096341.

It is a 2-persistent number, because it is pandigital, and so is 2⋅134261399715840 = 268522799431680, but 3⋅134261399715840 = 402784199147520 is not.

Almost surely, 2^{134261399715840} is an apocalyptic number.

134261399715840 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 134261399715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241547784710760).

134261399715840 is an abundant number, since it is smaller than the sum of its proper divisors (348834169705680).

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

134261399715840 is an frugal number, since it uses more digits than its factorization.

134261399715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36847 (or 36810 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 134261399715840 in words is "one hundred thirty-four trillion, two hundred sixty-one billion, three hundred ninety-nine million, seven hundred fifteen thousand, eight hundred forty".