134842201740 has 576 divisors, whose sum is σ = 461569425408. Its totient is φ = 32920473600.

The previous prime is 134842201699. The next prime is 134842201759. The reversal of 134842201740 is 47102248431.

134842201740 is a `hidden beast` number, since 1 + 3 + 484 + 2 + 2 + 0 + 174 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134842201695 and 134842201704.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 744984450 + ... + 744984630.

It is an arithmetic number, because the mean of its divisors is an integer number (801335808).

Almost surely, 2^134842201740 is an apocalyptic number.

134842201740 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 134842201740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230784712704).

134842201740 is an abundant number, since it is smaller than the sum of its proper divisors (326727223668).

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

134842201740 is a wasteful number, since it uses less digits than its factorization.

134842201740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 134842201740 in words is "one hundred thirty-four billion, eight hundred forty-two million, two hundred one thousand, seven hundred forty".