135355156400640 has 160 divisors (see below), whose sum is σ = 472051108241856. Its totient is φ = 32813371228160.

The previous prime is 135355156400623. The next prime is 135355156400683. The reversal of 135355156400640 is 46004651553531.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135355156400640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801023217 + ... + 801192176.

Almost surely, 2^{135355156400640} is an apocalyptic number.

135355156400640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135355156400640 is an abundant number, since it is smaller than the sum of its proper divisors (336695951841216).

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

135355156400640 is a wasteful number, since it uses less digits than its factorization.

135355156400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602215430 (or 1602215414 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 135355156400640 in words is "one hundred thirty-five trillion, three hundred fifty-five billion, one hundred fifty-six million, four hundred thousand, six hundred forty".