134201733120 has 1560 divisors, whose sum is σ = 607416251904. Its totient is φ = 28092137472.

The previous prime is 134201733097. The next prime is 134201733121. The reversal of 134201733120 is 21337102431.

It is a happy number.

134201733120 is a `hidden beast` number, since 1 + 342 + 0 + 1 + 7 + 3 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-3 number, since 3×134201733120³ (a number of 34 digits) contains 333 as substring.

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 (134201733121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1056706497 + ... + 1056706623.

Almost surely, 2^134201733120 is an apocalyptic number.

134201733120 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 134201733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303708125952).

134201733120 is an abundant number, since it is smaller than the sum of its proper divisors (473214518784).

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

134201733120 is a wasteful number, since it uses less digits than its factorization.

134201733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 134201733120 its reverse (21337102431), we get a palindrome (155538835551).

The spelling of 134201733120 in words is "one hundred thirty-four billion, two hundred one million, seven hundred thirty-three thousand, one hundred twenty".