134014521344400 has 90 divisors (see below), whose sum is σ = 465067615333490. Its totient is φ = 35737205690880.

The previous prime is 134014521344387. The next prime is 134014521344401. The reversal of 134014521344400 is 4443125410431.

It is a happy number.

134014521344400 is a `hidden beast` number, since 1 + 3 + 40 + 1 + 45 + 2 + 134 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22944253280256 + 111070268064144 = 4790016^2 + 10538988^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×134014521344400² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (134014521344401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18613124365 + ... + 18613131564.

Almost surely, 2^{134014521344400} is an apocalyptic number.

134014521344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134014521344400 is an abundant number, since it is smaller than the sum of its proper divisors (331053093989090).

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

134014521344400 is a wasteful number, since it uses less digits than its factorization.

134014521344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37226255953 (or 37226255939 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 134014521344400 its reverse (4443125410431), we get a palindrome (138457646754831).

The spelling of 134014521344400 in words is "one hundred thirty-four trillion, fourteen billion, five hundred twenty-one million, three hundred forty-four thousand, four hundred".