136805477990400 has 900 divisors, whose sum is σ = 507907255306528. Its totient is φ = 36402250383360.

The previous prime is 136805477990353. The next prime is 136805477990407. The reversal of 136805477990400 is 4099774508631.

136805477990400 is a `hidden beast` number, since 1 + 3 + 6 + 80 + 547 + 7 + 9 + 9 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136805477990407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16157486967 + ... + 16157495433.

Almost surely, 2^{136805477990400} is an apocalyptic number.

136805477990400 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 136805477990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253953627653264).

136805477990400 is an abundant number, since it is smaller than the sum of its proper divisors (371101777316128).

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

136805477990400 is an frugal number, since it uses more digits than its factorization.

136805477990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9004 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 136805477990400 in words is "one hundred thirty-six trillion, eight hundred five billion, four hundred seventy-seven million, nine hundred ninety thousand, four hundred".