136525437543600 has 5760 divisors, whose sum is σ = 655468547328000. Its totient is φ = 26306280161280.

The previous prime is 136525437543553. The next prime is 136525437543601. The reversal of 136525437543600 is 6345734525631.

136525437543600 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 2 + 5 + 4 + 37 + 543 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136525437543601) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 982197392331 + ... + 982197392469.

It is an arithmetic number, because the mean of its divisors is an integer number (113796622800).

Almost surely, 2^{136525437543600} is an apocalyptic number.

136525437543600 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 136525437543600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327734273664000).

136525437543600 is an abundant number, since it is smaller than the sum of its proper divisors (518943109784400).

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

136525437543600 is a wasteful number, since it uses less digits than its factorization.

136525437543600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 136525437543600 in words is "one hundred thirty-six trillion, five hundred twenty-five billion, four hundred thirty-seven million, five hundred forty-three thousand, six hundred".