134905749350400 has 2592 divisors, whose sum is σ = 579979117710720. Its totient is φ = 30481402429440.

The previous prime is 134905749350399. The next prime is 134905749350431. The reversal of 134905749350400 is 4053947509431.

134905749350400 is a `hidden beast` number, since 1 + 3 + 4 + 90 + 5 + 7 + 49 + 3 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×134905749350400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 215 ways as a sum of consecutive naturals, for example, 242200626922 + ... + 242200627478.

It is an arithmetic number, because the mean of its divisors is an integer number (223757375660).

Almost surely, 2^{134905749350400} is an apocalyptic number.

134905749350400 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 134905749350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289989558855360).

134905749350400 is an abundant number, since it is smaller than the sum of its proper divisors (445073368360320).

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

134905749350400 is an frugal number, since it uses more digits than its factorization.

134905749350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 134905749350400 in words is "one hundred thirty-four trillion, nine hundred five billion, seven hundred forty-nine million, three hundred fifty thousand, four hundred".