134007435013200 has 120 divisors (see below), whose sum is σ = 490594838307648. Its totient is φ = 30630270858240.

The previous prime is 134007435013129. The next prime is 134007435013237. The reversal of 134007435013200 is 2310534700431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7976624637 + ... + 7976641436.

Almost surely, 2^{134007435013200} is an apocalyptic number.

134007435013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134007435013200 is an abundant number, since it is smaller than the sum of its proper divisors (356587403294448).

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

134007435013200 is a wasteful number, since it uses less digits than its factorization.

134007435013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15953266101 (or 15953266090 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 134007435013200 its reverse (2310534700431), we get a palindrome (136317969713631).

The spelling of 134007435013200 in words is "one hundred thirty-four trillion, seven billion, four hundred thirty-five million, thirteen thousand, two hundred".