135540101664 has 288 divisors, whose sum is σ = 440545996800. Its totient is φ = 39152678400.

The previous prime is 135540101663. The next prime is 135540101743. The reversal of 135540101664 is 466101045531.

135540101664 is a `hidden beast` number, since 1 + 3 + 5 + 540 + 101 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×135540101664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135540101663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6569637 + ... + 6590235.

It is an arithmetic number, because the mean of its divisors is an integer number (1529673600).

Almost surely, 2^135540101664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135540101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220272998400).

135540101664 is an abundant number, since it is smaller than the sum of its proper divisors (305005895136).

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

135540101664 is a wasteful number, since it uses less digits than its factorization.

135540101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20724 (or 20713 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 135540101664 in words is "one hundred thirty-five billion, five hundred forty million, one hundred one thousand, six hundred sixty-four".