134214300211400 has 24 divisors (see below), whose sum is σ = 312048247991970. Its totient is φ = 53685720084480.

The previous prime is 134214300211351. The next prime is 134214300211471. The reversal of 134214300211400 is 4112003412431.

134214300211400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 74643966826276 + 59570333385124 = 8639674^2 + 7718182^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134214300211400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 335535750329 + ... + 335535750728.

Almost surely, 2^{134214300211400} is an apocalyptic number.

134214300211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134214300211400 is an abundant number, since it is smaller than the sum of its proper divisors (177833947780570).

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

134214300211400 is a wasteful number, since it uses less digits than its factorization.

134214300211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671071501073 (or 671071501064 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 134214300211400 its reverse (4112003412431), we get a palindrome (138326303623831).

The spelling of 134214300211400 in words is "one hundred thirty-four trillion, two hundred fourteen billion, three hundred million, two hundred eleven thousand, four hundred".