134597733120 has 648 divisors, whose sum is σ = 488923737120. Its totient is φ = 34175877120.

The previous prime is 134597733113. The next prime is 134597733131. The reversal of 134597733120 is 21337795431.

134597733120 is a `hidden beast` number, since 1 + 3 + 4 + 597 + 7 + 3 + 31 + 20 = 666.

134597733120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134597733120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1512334036 + ... + 1512334124.

It is an arithmetic number, because the mean of its divisors is an integer number (754511940).

Almost surely, 2^134597733120 is an apocalyptic number.

134597733120 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 134597733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244461868560).

134597733120 is an abundant number, since it is smaller than the sum of its proper divisors (354326004000).

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

134597733120 is an equidigital number, since it uses as much as digits as its factorization.

134597733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 134597733120 in words is "one hundred thirty-four billion, five hundred ninety-seven million, seven hundred thirty-three thousand, one hundred twenty".