135007472125440 has 960 divisors, whose sum is σ = 485284382668800. Its totient is φ = 34663356628992.

The previous prime is 135007472125429. The next prime is 135007472125447. The reversal of 135007472125440 is 44521274700531.

135007472125440 is a `hidden beast` number, since 1 + 3 + 50 + 0 + 7 + 47 + 2 + 12 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135007472125447) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 71927261782 + ... + 71927263658.

It is an arithmetic number, because the mean of its divisors is an integer number (505504565280).

Almost surely, 2^{135007472125440} is an apocalyptic number.

135007472125440 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 135007472125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242642191334400).

135007472125440 is an abundant number, since it is smaller than the sum of its proper divisors (350276910543360).

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

135007472125440 is a wasteful number, since it uses less digits than its factorization.

135007472125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 135007472125440 in words is "one hundred thirty-five trillion, seven billion, four hundred seventy-two million, one hundred twenty-five thousand, four hundred forty".