136075432320 has 384 divisors, whose sum is σ = 477436377600. Its totient is φ = 35707392000.

The previous prime is 136075432309. The next prime is 136075432327. The reversal of 136075432320 is 23234570631.

136075432320 is a `hidden beast` number, since 1 + 3 + 607 + 5 + 4 + 3 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (136075432327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181191945 + ... + 181192695.

It is an arithmetic number, because the mean of its divisors is an integer number (1243323900).

Almost surely, 2^136075432320 is an apocalyptic number.

136075432320 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 136075432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238718188800).

136075432320 is an abundant number, since it is smaller than the sum of its proper divisors (341360945280).

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

136075432320 is a wasteful number, since it uses less digits than its factorization.

136075432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 136075432320 in words is "one hundred thirty-six billion, seventy-five million, four hundred thirty-two thousand, three hundred twenty".