134012491200 has 1260 divisors, whose sum is σ = 586515362400. Its totient is φ = 29912924160.

The previous prime is 134012491199. The next prime is 134012491201. The reversal of 134012491200 is 2194210431.

It is a happy number.

134012491200 is a `hidden beast` number, since 1 + 3 + 401 + 249 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134012491199) and next prime (134012491201).

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134012491201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 298468576 + ... + 298469024.

Almost surely, 2^134012491200 is an apocalyptic number.

134012491200 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 134012491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293257681200).

134012491200 is an abundant number, since it is smaller than the sum of its proper divisors (452502871200).

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

134012491200 is a wasteful number, since it uses less digits than its factorization.

134012491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 134012491200 in words is "one hundred thirty-four billion, twelve million, four hundred ninety-one thousand, two hundred".