135220961660400 has 1920 divisors, whose sum is σ = 617430439065600. Its totient is φ = 27636401664000.

The previous prime is 135220961660377. The next prime is 135220961660413. The reversal of 135220961660400 is 4066169022531.

135220961660400 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 20 + 9 + 6 + 16 + 604 + 0 + 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 383 ways as a sum of consecutive naturals, for example, 4108919146 + ... + 4108952054.

It is an arithmetic number, because the mean of its divisors is an integer number (321578353680).

Almost surely, 2^{135220961660400} is an apocalyptic number.

135220961660400 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 135220961660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308715219532800).

135220961660400 is an abundant number, since it is smaller than the sum of its proper divisors (482209477405200).

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

135220961660400 is a wasteful number, since it uses less digits than its factorization.

135220961660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33027 (or 32998 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 135220961660400 in words is "one hundred thirty-five trillion, two hundred twenty billion, nine hundred sixty-one million, six hundred sixty thousand, four hundred".