135486812160 has 1664 divisors, whose sum is σ = 611454873600. Its totient is φ = 27745320960.

The previous prime is 135486812159. The next prime is 135486812161. The reversal of 135486812160 is 61218684531.

135486812160 is a `hidden beast` number, since 1 + 3 + 5 + 486 + 8 + 1 + 2 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (135486812159) and next prime (135486812161).

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

It is not an unprimeable number, because it can be changed into a prime (135486812161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1908264925 + ... + 1908264995.

Almost surely, 2^135486812160 is an apocalyptic number.

135486812160 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 135486812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305727436800).

135486812160 is an abundant number, since it is smaller than the sum of its proper divisors (475968061440).

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

135486812160 is a wasteful number, since it uses less digits than its factorization.

135486812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 135486812160 in words is "one hundred thirty-five billion, four hundred eighty-six million, eight hundred twelve thousand, one hundred sixty".