136034325504 has 1056 divisors, whose sum is σ = 523070401280. Its totient is φ = 34159656960.

The previous prime is 136034325443. The next prime is 136034325509. The reversal of 136034325504 is 405523430631.

136034325504 is a `hidden beast` number, since 1 + 3 + 60 + 3 + 43 + 2 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136034325509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 866460594 + ... + 866460750.

Almost surely, 2^136034325504 is an apocalyptic number.

136034325504 is a gapful number since it is divisible by the number (14) 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 136034325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261535200640).

136034325504 is an abundant number, since it is smaller than the sum of its proper divisors (387036075776).

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

136034325504 is a wasteful number, since it uses less digits than its factorization.

136034325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 136034325504 in words is "one hundred thirty-six billion, thirty-four million, three hundred twenty-five thousand, five hundred four".