135488471040 has 1152 divisors, whose sum is σ = 563712307200. Its totient is φ = 30576476160.

The previous prime is 135488471033. The next prime is 135488471057. The reversal of 135488471040 is 40174884531.

135488471040 is a `hidden beast` number, since 13 + 54 + 88 + 471 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4370595825 + ... + 4370595855.

It is an arithmetic number, because the mean of its divisors is an integer number (489333600).

Almost surely, 2^135488471040 is an apocalyptic number.

135488471040 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 135488471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281856153600).

135488471040 is an abundant number, since it is smaller than the sum of its proper divisors (428223836160).

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

135488471040 is an equidigital number, since it uses as much as digits as its factorization.

135488471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 135488471040 in words is "one hundred thirty-five billion, four hundred eighty-eight million, four hundred seventy-one thousand, forty".