134764340613120 has 728 divisors, whose sum is σ = 491012496182400. Its totient is φ = 35481946226688.

The previous prime is 134764340613031. The next prime is 134764340613137. The reversal of 134764340613120 is 21316043467431.

It is a happy number.

134764340613120 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 6 + 4 + 3 + 4 + 0 + 613 + 1 + 20 = 666.

It is a super-2 number, since 2×134764340613120² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1179406551 + ... + 1179520809.

Almost surely, 2^{134764340613120} is an apocalyptic number.

134764340613120 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 134764340613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245506248091200).

134764340613120 is an abundant number, since it is smaller than the sum of its proper divisors (356248155569280).

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

134764340613120 is an frugal number, since it uses more digits than its factorization.

134764340613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114385 (or 114348 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 134764340613120 in words is "one hundred thirty-four trillion, seven hundred sixty-four billion, three hundred forty million, six hundred thirteen thousand, one hundred twenty".