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136757984 = 25111073631
BaseRepresentation
bin10000010011011…
…00001011100000
3100112100000200112
420021230023200
5240002223414
621323110452
73250265216
oct1011541340
9315300615
10136757984
1170218330
1239972428
13224437ac
141423ccb6
15c015d3e
hex826c2e0

136757984 has 48 divisors (see below), whose sum is σ = 296545536. Its totient is φ = 61564800.

The previous prime is 136757983. The next prime is 136757993. The reversal of 136757984 is 489757631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136757983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35849 + ... + 39479.

It is an arithmetic number, because the mean of its divisors is an integer number (6178032).

Almost surely, 2136757984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136757984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148272768).

136757984 is an abundant number, since it is smaller than the sum of its proper divisors (159787552).

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

136757984 is a wasteful number, since it uses less digits than its factorization.

136757984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3751 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 50.

The square root of 136757984 is about 11694.3569297332. The cubic root of 136757984 is about 515.2099360891.

The spelling of 136757984 in words is "one hundred thirty-six million, seven hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 856 1177 1712 2354 3424 3631 4708 7262 9416 14524 18832 29048 37664 39941 58096 79882 116192 159764 319528 388517 639056 777034 1278112 1554068 3108136 4273687 6216272 8547374 12432544 17094748 34189496 68378992 136757984