135694313510400 has 360 divisors, whose sum is σ = 503598150119064. Its totient is φ = 36185149440000.

The previous prime is 135694313510387. The next prime is 135694313510461. The reversal of 135694313510400 is 4015313496531.

135694313510400 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 94 + 3 + 1 + 3 + 510 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 18702601 + ... + 24923400.

Almost surely, 2^{135694313510400} is an apocalyptic number.

135694313510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135694313510400 is an abundant number, since it is smaller than the sum of its proper divisors (367903836608664).

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

135694313510400 is an frugal number, since it uses more digits than its factorization.

135694313510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43626044 (or 43626011 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 135694313510400 in words is "one hundred thirty-five trillion, six hundred ninety-four billion, three hundred thirteen million, five hundred ten thousand, four hundred".