134377165440 has 768 divisors, whose sum is σ = 562177324800. Its totient is φ = 28922019840.

The previous prime is 134377165423. The next prime is 134377165441. The reversal of 134377165440 is 44561773431.

134377165440 is a `hidden beast` number, since 1 + 3 + 4 + 37 + 71 + 6 + 544 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134377165441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47939079 + ... + 47941881.

It is an arithmetic number, because the mean of its divisors is an integer number (732001725).

Almost surely, 2^134377165440 is an apocalyptic number.

134377165440 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 134377165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281088662400).

134377165440 is an abundant number, since it is smaller than the sum of its proper divisors (427800159360).

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

134377165440 is a wasteful number, since it uses less digits than its factorization.

134377165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 134377165440 in words is "one hundred thirty-four billion, three hundred seventy-seven million, one hundred sixty-five thousand, four hundred forty".