136528761600 has 1728 divisors, whose sum is σ = 646251970560. Its totient is φ = 27371520000.

The previous prime is 136528761587. The next prime is 136528761601. The reversal of 136528761600 is 6167825631.

136528761600 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 28 + 7 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (136528761601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 412473435 + ... + 412473765.

Almost surely, 2^136528761600 is an apocalyptic number.

136528761600 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 136528761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323125985280).

136528761600 is an abundant number, since it is smaller than the sum of its proper divisors (509723208960).

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

136528761600 is a wasteful number, since it uses less digits than its factorization.

136528761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 136528761600 in words is "one hundred thirty-six billion, five hundred twenty-eight million, seven hundred sixty-one thousand, six hundred".