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136920765520 = 245711196911693
BaseRepresentation
bin111111110000100011…
…1010001010001010000
3111002102020120120010201
41333201013101101100
54220403203444040
6142522303104544
712615011206210
oct1774107212120
9432366516121
10136920765520
1153082225760
12226525a2154
13cbb0957966
1468ac6bc240
15386572aa9a
hex1fe11d1450

136920765520 has 320 divisors, whose sum is σ = 418633205760. Its totient is φ = 40348108800.

The previous prime is 136920765479. The next prime is 136920765521. The reversal of 136920765520 is 25567029631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136920765521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80873794 + ... + 80875486.

It is an arithmetic number, because the mean of its divisors is an integer number (1308228768).

Almost surely, 2136920765520 is an apocalyptic number.

136920765520 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 136920765520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209316602880).

136920765520 is an abundant number, since it is smaller than the sum of its proper divisors (281712440240).

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

136920765520 is a wasteful number, since it uses less digits than its factorization.

136920765520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 136920765520 in words is "one hundred thirty-six billion, nine hundred twenty million, seven hundred sixty-five thousand, five hundred twenty".