134032765680 has 480 divisors, whose sum is σ = 501006504960. Its totient is φ = 31839160320.

The previous prime is 134032765651. The next prime is 134032765721. The reversal of 134032765680 is 86567230431.

134032765680 is a `hidden beast` number, since 13 + 4 + 0 + 3 + 2 + 76 + 568 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 121516009 + ... + 121517111.

It is an arithmetic number, because the mean of its divisors is an integer number (1043763552).

Almost surely, 2^134032765680 is an apocalyptic number.

134032765680 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 134032765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250503252480).

134032765680 is an abundant number, since it is smaller than the sum of its proper divisors (366973739280).

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

134032765680 is a wasteful number, since it uses less digits than its factorization.

134032765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 134032765680 in words is "one hundred thirty-four billion, thirty-two million, seven hundred sixty-five thousand, six hundred eighty".