135864541620000 has 720 divisors, whose sum is σ = 530135238945312. Its totient is φ = 34099315200000.

The previous prime is 135864541619957. The next prime is 135864541620011. The reversal of 135864541620000 is 26145468531.

135864541620000 is a `hidden beast` number, since 1 + 3 + 5 + 86 + 4 + 541 + 6 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×135864541620000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81797775 + ... + 83442225.

Almost surely, 2^{135864541620000} is an apocalyptic number.

135864541620000 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 135864541620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265067619472656).

135864541620000 is an abundant number, since it is smaller than the sum of its proper divisors (394270697325312).

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

135864541620000 is an equidigital number, since it uses as much as digits as its factorization.

135864541620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644513 (or 1644478 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 135864541620000 in words is "one hundred thirty-five trillion, eight hundred sixty-four billion, five hundred forty-one million, six hundred twenty thousand".