135075467160 has 384 divisors, whose sum is σ = 469857024000. Its totient is φ = 34882638336.

The previous prime is 135075467129. The next prime is 135075467179. The reversal of 135075467160 is 61764570531.

135075467160 is a `hidden beast` number, since 1 + 35 + 0 + 7 + 546 + 71 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 40695981 + ... + 40699299.

It is an arithmetic number, because the mean of its divisors is an integer number (1223586000).

Almost surely, 2^135075467160 is an apocalyptic number.

135075467160 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 135075467160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234928512000).

135075467160 is an abundant number, since it is smaller than the sum of its proper divisors (334781556840).

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

135075467160 is a wasteful number, since it uses less digits than its factorization.

135075467160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 135075467160 in words is "one hundred thirty-five billion, seventy-five million, four hundred sixty-seven thousand, one hundred sixty".