134653143040 has 576 divisors, whose sum is σ = 388481184000. Its totient is φ = 44534071296.

The previous prime is 134653142993. The next prime is 134653143061. The reversal of 134653143040 is 40341356431.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 134653142987 and 134653143005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676648861 + ... + 676649059.

It is an arithmetic number, because the mean of its divisors is an integer number (674446500).

Almost surely, 2^134653143040 is an apocalyptic number.

134653143040 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 134653143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194240592000).

134653143040 is an abundant number, since it is smaller than the sum of its proper divisors (253828040960).

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

134653143040 is a wasteful number, since it uses less digits than its factorization.

134653143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 134653143040 its reverse (40341356431), we get a palindrome (174994499471).

The spelling of 134653143040 in words is "one hundred thirty-four billion, six hundred fifty-three million, one hundred forty-three thousand, forty".