134035441920 has 432 divisors, whose sum is σ = 503034425712. Its totient is φ = 32817807360.

The previous prime is 134035441919. The next prime is 134035441927. The reversal of 134035441920 is 29144530431.

134035441920 is a `hidden beast` number, since 13 + 403 + 54 + 4 + 192 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26493421824 + 107542020096 = 162768^2 + 327936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134035441927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8021094 + ... + 8037786.

It is an arithmetic number, because the mean of its divisors is an integer number (1164431541).

Almost surely, 2^134035441920 is an apocalyptic number.

134035441920 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 134035441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251517212856).

134035441920 is an abundant number, since it is smaller than the sum of its proper divisors (368998983792).

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

134035441920 is a wasteful number, since it uses less digits than its factorization.

134035441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16778 (or 16761 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 134035441920 in words is "one hundred thirty-four billion, thirty-five million, four hundred forty-one thousand, nine hundred twenty".