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136328129376 = 253171930714321
BaseRepresentation
bin111111011110111001…
…0100010101101100000
3111000212221102112011220
41332331302202231200
54213200000120001
6142343412535040
712564223660065
oct1767562425540
9430787375156
10136328129376
11528a874741a
1222508021480
13cb17c39a9a
146853ad0c6c
15382d6b4c36
hex1fbdca2b60

136328129376 has 192 divisors, whose sum is σ = 400181886720. Its totient is φ = 40383774720.

The previous prime is 136328129297. The next prime is 136328129411. The reversal of 136328129376 is 673921823631.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9512296 + ... + 9526616.

It is an arithmetic number, because the mean of its divisors is an integer number (2084280660).

Almost surely, 2136328129376 is an apocalyptic number.

136328129376 is a gapful number since it is divisible by the number (16) 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 136328129376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200090943360).

136328129376 is an abundant number, since it is smaller than the sum of its proper divisors (263853757344).

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

136328129376 is a wasteful number, since it uses less digits than its factorization.

136328129376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14677 (or 14669 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The spelling of 136328129376 in words is "one hundred thirty-six billion, three hundred twenty-eight million, one hundred twenty-nine thousand, three hundred seventy-six".