134625011040 has 768 divisors, whose sum is σ = 529775769600. Its totient is φ = 31701196800.

The previous prime is 134625010969. The next prime is 134625011071. The reversal of 134625011040 is 40110526431.

It is a happy number.

134625011040 is a `hidden beast` number, since 1 + 3 + 462 + 50 + 110 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134625010995 and 134625011013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213351525 + ... + 213352155.

It is an arithmetic number, because the mean of its divisors is an integer number (689812200).

Almost surely, 2^134625011040 is an apocalyptic number.

134625011040 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 134625011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264887884800).

134625011040 is an abundant number, since it is smaller than the sum of its proper divisors (395150758560).

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

134625011040 is a wasteful number, since it uses less digits than its factorization.

134625011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 134625011040 its reverse (40110526431), we get a palindrome (174735537471).

The spelling of 134625011040 in words is "one hundred thirty-four billion, six hundred twenty-five million, eleven thousand, forty".