135156495974400 has 768 divisors, whose sum is σ = 498094583745600. Its totient is φ = 35930898432000.

The previous prime is 135156495974369. The next prime is 135156495974557. The reversal of 135156495974400 is 4479594651531.

135156495974400 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 56 + 4 + 95 + 97 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7321181170 + ... + 7321199630.

Almost surely, 2^{135156495974400} is an apocalyptic number.

135156495974400 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 135156495974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249047291872800).

135156495974400 is an abundant number, since it is smaller than the sum of its proper divisors (362938087771200).

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

135156495974400 is an equidigital number, since it uses as much as digits as its factorization.

135156495974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18841 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 135156495974400 in words is "one hundred thirty-five trillion, one hundred fifty-six billion, four hundred ninety-five million, nine hundred seventy-four thousand, four hundred".